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Simplifying 4x + -3(x + -1) = 9x + 15 + -7x Reorder the terms: 4x + -3(-1 + x) = 9x + 15 + -7x 4x + (-1 * -3 + x * -3) = 9x + 15 + -7x 4x + (3 + -3x) = 9x + 15 + -7x Reorder the terms: 3 + 4x + -3x = 9x + 15 + -7x Combine like terms: 4x + -3x = 1x 3 + 1x = 9x + 15 + -7x Reorder the terms: 3 + 1x = 15 + 9x + -7x Combine like terms: 9x + -7x = 2x 3 + 1x = 15 + 2x Solving 3 + 1x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 1x + -2x = 15 + 2x + -2x Combine like terms: 1x + -2x = -1x 3 + -1x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -1x = 15 + 0 3 + -1x = 15 Add '-3' to each side of the equation. 3 + -3 + -1x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 15 + -3 -1x = 15 + -3 Combine like terms: 15 + -3 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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