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Simplifying 12 + -5(2x + -13) = 3(2x + -5) Reorder the terms: 12 + -5(-13 + 2x) = 3(2x + -5) 12 + (-13 * -5 + 2x * -5) = 3(2x + -5) 12 + (65 + -10x) = 3(2x + -5) Combine like terms: 12 + 65 = 77 77 + -10x = 3(2x + -5) Reorder the terms: 77 + -10x = 3(-5 + 2x) 77 + -10x = (-5 * 3 + 2x * 3) 77 + -10x = (-15 + 6x) Solving 77 + -10x = -15 + 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. 77 + -10x + -6x = -15 + 6x + -6x Combine like terms: -10x + -6x = -16x 77 + -16x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 77 + -16x = -15 + 0 77 + -16x = -15 Add '-77' to each side of the equation. 77 + -77 + -16x = -15 + -77 Combine like terms: 77 + -77 = 0 0 + -16x = -15 + -77 -16x = -15 + -77 Combine like terms: -15 + -77 = -92 -16x = -92 Divide each side by '-16'. x = 5.75 Simplifying x = 5.75
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