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Simplifying 4(x + -1) + 7 = 5x + -12 Reorder the terms: 4(-1 + x) + 7 = 5x + -12 (-1 * 4 + x * 4) + 7 = 5x + -12 (-4 + 4x) + 7 = 5x + -12 Reorder the terms: -4 + 7 + 4x = 5x + -12 Combine like terms: -4 + 7 = 3 3 + 4x = 5x + -12 Reorder the terms: 3 + 4x = -12 + 5x Solving 3 + 4x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 4x + -5x = -12 + 5x + -5x Combine like terms: 4x + -5x = -1x 3 + -1x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -1x = -12 + 0 3 + -1x = -12 Add '-3' to each side of the equation. 3 + -3 + -1x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -12 + -3 -1x = -12 + -3 Combine like terms: -12 + -3 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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