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Simplifying 4(9x + -4) + 2(2x + -7) + -7x = 3(3x + -10) + 5(x + -22) + -4 Reorder the terms: 4(-4 + 9x) + 2(2x + -7) + -7x = 3(3x + -10) + 5(x + -22) + -4 (-4 * 4 + 9x * 4) + 2(2x + -7) + -7x = 3(3x + -10) + 5(x + -22) + -4 (-16 + 36x) + 2(2x + -7) + -7x = 3(3x + -10) + 5(x + -22) + -4 Reorder the terms: -16 + 36x + 2(-7 + 2x) + -7x = 3(3x + -10) + 5(x + -22) + -4 -16 + 36x + (-7 * 2 + 2x * 2) + -7x = 3(3x + -10) + 5(x + -22) + -4 -16 + 36x + (-14 + 4x) + -7x = 3(3x + -10) + 5(x + -22) + -4 Reorder the terms: -16 + -14 + 36x + 4x + -7x = 3(3x + -10) + 5(x + -22) + -4 Combine like terms: -16 + -14 = -30 -30 + 36x + 4x + -7x = 3(3x + -10) + 5(x + -22) + -4 Combine like terms: 36x + 4x = 40x -30 + 40x + -7x = 3(3x + -10) + 5(x + -22) + -4 Combine like terms: 40x + -7x = 33x -30 + 33x = 3(3x + -10) + 5(x + -22) + -4 Reorder the terms: -30 + 33x = 3(-10 + 3x) + 5(x + -22) + -4 -30 + 33x = (-10 * 3 + 3x * 3) + 5(x + -22) + -4 -30 + 33x = (-30 + 9x) + 5(x + -22) + -4 Reorder the terms: -30 + 33x = -30 + 9x + 5(-22 + x) + -4 -30 + 33x = -30 + 9x + (-22 * 5 + x * 5) + -4 -30 + 33x = -30 + 9x + (-110 + 5x) + -4 Reorder the terms: -30 + 33x = -30 + -110 + -4 + 9x + 5x Combine like terms: -30 + -110 = -140 -30 + 33x = -140 + -4 + 9x + 5x Combine like terms: -140 + -4 = -144 -30 + 33x = -144 + 9x + 5x Combine like terms: 9x + 5x = 14x -30 + 33x = -144 + 14x Solving -30 + 33x = -144 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -30 + 33x + -14x = -144 + 14x + -14x Combine like terms: 33x + -14x = 19x -30 + 19x = -144 + 14x + -14x Combine like terms: 14x + -14x = 0 -30 + 19x = -144 + 0 -30 + 19x = -144 Add '30' to each side of the equation. -30 + 30 + 19x = -144 + 30 Combine like terms: -30 + 30 = 0 0 + 19x = -144 + 30 19x = -144 + 30 Combine like terms: -144 + 30 = -114 19x = -114 Divide each side by '19'. x = -6 Simplifying x = -6
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