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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 = 8x -5 + 8x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 8x = 15 + 0 -5 + 8x = 15 Add '5' to each side of the equation. -5 + 5 + 8x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 15 + 5 8x = 15 + 5 Combine like terms: 15 + 5 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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