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Simplifying 3x + -1(2x + -5) = 2(x + 3) + -8 Reorder the terms: 3x + -1(-5 + 2x) = 2(x + 3) + -8 3x + (-5 * -1 + 2x * -1) = 2(x + 3) + -8 3x + (5 + -2x) = 2(x + 3) + -8 Reorder the terms: 5 + 3x + -2x = 2(x + 3) + -8 Combine like terms: 3x + -2x = 1x 5 + 1x = 2(x + 3) + -8 Reorder the terms: 5 + 1x = 2(3 + x) + -8 5 + 1x = (3 * 2 + x * 2) + -8 5 + 1x = (6 + 2x) + -8 Reorder the terms: 5 + 1x = 6 + -8 + 2x Combine like terms: 6 + -8 = -2 5 + 1x = -2 + 2x Solving 5 + 1x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 1x + -2x = -2 + 2x + -2x Combine like terms: 1x + -2x = -1x 5 + -1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -1x = -2 + 0 5 + -1x = -2 Add '-5' to each side of the equation. 5 + -5 + -1x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -2 + -5 -1x = -2 + -5 Combine like terms: -2 + -5 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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