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Simplifying 5(2x + -1) + -7 = 3(1 + -2x) + 17 Reorder the terms: 5(-1 + 2x) + -7 = 3(1 + -2x) + 17 (-1 * 5 + 2x * 5) + -7 = 3(1 + -2x) + 17 (-5 + 10x) + -7 = 3(1 + -2x) + 17 Reorder the terms: -5 + -7 + 10x = 3(1 + -2x) + 17 Combine like terms: -5 + -7 = -12 -12 + 10x = 3(1 + -2x) + 17 -12 + 10x = (1 * 3 + -2x * 3) + 17 -12 + 10x = (3 + -6x) + 17 Reorder the terms: -12 + 10x = 3 + 17 + -6x Combine like terms: 3 + 17 = 20 -12 + 10x = 20 + -6x Solving -12 + 10x = 20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + 10x + 6x = 20 + -6x + 6x Combine like terms: 10x + 6x = 16x -12 + 16x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 16x = 20 + 0 -12 + 16x = 20 Add '12' to each side of the equation. -12 + 12 + 16x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = 20 + 12 16x = 20 + 12 Combine like terms: 20 + 12 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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