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Simplifying 5x + -12 + 7 = -3(-1x + -5) Reorder the terms: -12 + 7 + 5x = -3(-1x + -5) Combine like terms: -12 + 7 = -5 -5 + 5x = -3(-1x + -5) Reorder the terms: -5 + 5x = -3(-5 + -1x) -5 + 5x = (-5 * -3 + -1x * -3) -5 + 5x = (15 + 3x) Solving -5 + 5x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 5x + -3x = 15 + 3x + -3x Combine like terms: 5x + -3x = 2x -5 + 2x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 2x = 15 + 0 -5 + 2x = 15 Add '5' to each side of the equation. -5 + 5 + 2x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 15 + 5 2x = 15 + 5 Combine like terms: 15 + 5 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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