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Simplifying 4x + -1(3x + -5) + 12 = 5x + -1(3x + 6) + 25 Reorder the terms: 4x + -1(-5 + 3x) + 12 = 5x + -1(3x + 6) + 25 4x + (-5 * -1 + 3x * -1) + 12 = 5x + -1(3x + 6) + 25 4x + (5 + -3x) + 12 = 5x + -1(3x + 6) + 25 Reorder the terms: 5 + 12 + 4x + -3x = 5x + -1(3x + 6) + 25 Combine like terms: 5 + 12 = 17 17 + 4x + -3x = 5x + -1(3x + 6) + 25 Combine like terms: 4x + -3x = 1x 17 + 1x = 5x + -1(3x + 6) + 25 Reorder the terms: 17 + 1x = 5x + -1(6 + 3x) + 25 17 + 1x = 5x + (6 * -1 + 3x * -1) + 25 17 + 1x = 5x + (-6 + -3x) + 25 Reorder the terms: 17 + 1x = -6 + 25 + 5x + -3x Combine like terms: -6 + 25 = 19 17 + 1x = 19 + 5x + -3x Combine like terms: 5x + -3x = 2x 17 + 1x = 19 + 2x Solving 17 + 1x = 19 + 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. 17 + 1x + -2x = 19 + 2x + -2x Combine like terms: 1x + -2x = -1x 17 + -1x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + -1x = 19 + 0 17 + -1x = 19 Add '-17' to each side of the equation. 17 + -17 + -1x = 19 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 19 + -17 -1x = 19 + -17 Combine like terms: 19 + -17 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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