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Simplifying 4(3x + -7) + -2 = 4(x + -3) + 22 Reorder the terms: 4(-7 + 3x) + -2 = 4(x + -3) + 22 (-7 * 4 + 3x * 4) + -2 = 4(x + -3) + 22 (-28 + 12x) + -2 = 4(x + -3) + 22 Reorder the terms: -28 + -2 + 12x = 4(x + -3) + 22 Combine like terms: -28 + -2 = -30 -30 + 12x = 4(x + -3) + 22 Reorder the terms: -30 + 12x = 4(-3 + x) + 22 -30 + 12x = (-3 * 4 + x * 4) + 22 -30 + 12x = (-12 + 4x) + 22 Reorder the terms: -30 + 12x = -12 + 22 + 4x Combine like terms: -12 + 22 = 10 -30 + 12x = 10 + 4x Solving -30 + 12x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + 12x + -4x = 10 + 4x + -4x Combine like terms: 12x + -4x = 8x -30 + 8x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 8x = 10 + 0 -30 + 8x = 10 Add '30' to each side of the equation. -30 + 30 + 8x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 10 + 30 8x = 10 + 30 Combine like terms: 10 + 30 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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