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Simplifying 4x + -1(x + -7) = 9 + 3(x + -4) + -2x Reorder the terms: 4x + -1(-7 + x) = 9 + 3(x + -4) + -2x 4x + (-7 * -1 + x * -1) = 9 + 3(x + -4) + -2x 4x + (7 + -1x) = 9 + 3(x + -4) + -2x Reorder the terms: 7 + 4x + -1x = 9 + 3(x + -4) + -2x Combine like terms: 4x + -1x = 3x 7 + 3x = 9 + 3(x + -4) + -2x Reorder the terms: 7 + 3x = 9 + 3(-4 + x) + -2x 7 + 3x = 9 + (-4 * 3 + x * 3) + -2x 7 + 3x = 9 + (-12 + 3x) + -2x Combine like terms: 9 + -12 = -3 7 + 3x = -3 + 3x + -2x Combine like terms: 3x + -2x = 1x 7 + 3x = -3 + 1x Solving 7 + 3x = -3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 3x + -1x = -3 + 1x + -1x Combine like terms: 3x + -1x = 2x 7 + 2x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 2x = -3 + 0 7 + 2x = -3 Add '-7' to each side of the equation. 7 + -7 + 2x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -3 + -7 2x = -3 + -7 Combine like terms: -3 + -7 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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