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Simplifying 4(x + -1) + -3(2x + 3) = 3(11 + -4x) + 2(3x + -7) Reorder the terms: 4(-1 + x) + -3(2x + 3) = 3(11 + -4x) + 2(3x + -7) (-1 * 4 + x * 4) + -3(2x + 3) = 3(11 + -4x) + 2(3x + -7) (-4 + 4x) + -3(2x + 3) = 3(11 + -4x) + 2(3x + -7) Reorder the terms: -4 + 4x + -3(3 + 2x) = 3(11 + -4x) + 2(3x + -7) -4 + 4x + (3 * -3 + 2x * -3) = 3(11 + -4x) + 2(3x + -7) -4 + 4x + (-9 + -6x) = 3(11 + -4x) + 2(3x + -7) Reorder the terms: -4 + -9 + 4x + -6x = 3(11 + -4x) + 2(3x + -7) Combine like terms: -4 + -9 = -13 -13 + 4x + -6x = 3(11 + -4x) + 2(3x + -7) Combine like terms: 4x + -6x = -2x -13 + -2x = 3(11 + -4x) + 2(3x + -7) -13 + -2x = (11 * 3 + -4x * 3) + 2(3x + -7) -13 + -2x = (33 + -12x) + 2(3x + -7) Reorder the terms: -13 + -2x = 33 + -12x + 2(-7 + 3x) -13 + -2x = 33 + -12x + (-7 * 2 + 3x * 2) -13 + -2x = 33 + -12x + (-14 + 6x) Reorder the terms: -13 + -2x = 33 + -14 + -12x + 6x Combine like terms: 33 + -14 = 19 -13 + -2x = 19 + -12x + 6x Combine like terms: -12x + 6x = -6x -13 + -2x = 19 + -6x Solving -13 + -2x = 19 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -13 + -2x + 6x = 19 + -6x + 6x Combine like terms: -2x + 6x = 4x -13 + 4x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 4x = 19 + 0 -13 + 4x = 19 Add '13' to each side of the equation. -13 + 13 + 4x = 19 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 19 + 13 4x = 19 + 13 Combine like terms: 19 + 13 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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