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Simplifying 5(2x + -7) + 2 = 3(4 + -1x) + -12 Reorder the terms: 5(-7 + 2x) + 2 = 3(4 + -1x) + -12 (-7 * 5 + 2x * 5) + 2 = 3(4 + -1x) + -12 (-35 + 10x) + 2 = 3(4 + -1x) + -12 Reorder the terms: -35 + 2 + 10x = 3(4 + -1x) + -12 Combine like terms: -35 + 2 = -33 -33 + 10x = 3(4 + -1x) + -12 -33 + 10x = (4 * 3 + -1x * 3) + -12 -33 + 10x = (12 + -3x) + -12 Reorder the terms: -33 + 10x = 12 + -12 + -3x Combine like terms: 12 + -12 = 0 -33 + 10x = 0 + -3x -33 + 10x = -3x Solving -33 + 10x = -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. -33 + 10x + 3x = -3x + 3x Combine like terms: 10x + 3x = 13x -33 + 13x = -3x + 3x Combine like terms: -3x + 3x = 0 -33 + 13x = 0 Add '33' to each side of the equation. -33 + 33 + 13x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 13x = 0 + 33 13x = 0 + 33 Combine like terms: 0 + 33 = 33 13x = 33 Divide each side by '13'. x = 2.538461538 Simplifying x = 2.538461538
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