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Simplifying -5(-2x + 1) = 7(x + -2) + -3 Reorder the terms: -5(1 + -2x) = 7(x + -2) + -3 (1 * -5 + -2x * -5) = 7(x + -2) + -3 (-5 + 10x) = 7(x + -2) + -3 Reorder the terms: -5 + 10x = 7(-2 + x) + -3 -5 + 10x = (-2 * 7 + x * 7) + -3 -5 + 10x = (-14 + 7x) + -3 Reorder the terms: -5 + 10x = -14 + -3 + 7x Combine like terms: -14 + -3 = -17 -5 + 10x = -17 + 7x Solving -5 + 10x = -17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 10x + -7x = -17 + 7x + -7x Combine like terms: 10x + -7x = 3x -5 + 3x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + 3x = -17 + 0 -5 + 3x = -17 Add '5' to each side of the equation. -5 + 5 + 3x = -17 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -17 + 5 3x = -17 + 5 Combine like terms: -17 + 5 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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