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Simplifying 7 + -4x + 5x + -7 = 5(x + 12) + -1(x + 3) Reorder the terms: 7 + -7 + -4x + 5x = 5(x + 12) + -1(x + 3) Combine like terms: 7 + -7 = 0 0 + -4x + 5x = 5(x + 12) + -1(x + 3) -4x + 5x = 5(x + 12) + -1(x + 3) Combine like terms: -4x + 5x = 1x 1x = 5(x + 12) + -1(x + 3) Reorder the terms: 1x = 5(12 + x) + -1(x + 3) 1x = (12 * 5 + x * 5) + -1(x + 3) 1x = (60 + 5x) + -1(x + 3) Reorder the terms: 1x = 60 + 5x + -1(3 + x) 1x = 60 + 5x + (3 * -1 + x * -1) 1x = 60 + 5x + (-3 + -1x) Reorder the terms: 1x = 60 + -3 + 5x + -1x Combine like terms: 60 + -3 = 57 1x = 57 + 5x + -1x Combine like terms: 5x + -1x = 4x 1x = 57 + 4x Solving 1x = 57 + 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. 1x + -4x = 57 + 4x + -4x Combine like terms: 1x + -4x = -3x -3x = 57 + 4x + -4x Combine like terms: 4x + -4x = 0 -3x = 57 + 0 -3x = 57 Divide each side by '-3'. x = -19 Simplifying x = -19
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