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Simplifying 3x + -2(2x + -5) = -2(x + 3) + -8 Reorder the terms: 3x + -2(-5 + 2x) = -2(x + 3) + -8 3x + (-5 * -2 + 2x * -2) = -2(x + 3) + -8 3x + (10 + -4x) = -2(x + 3) + -8 Reorder the terms: 10 + 3x + -4x = -2(x + 3) + -8 Combine like terms: 3x + -4x = -1x 10 + -1x = -2(x + 3) + -8 Reorder the terms: 10 + -1x = -2(3 + x) + -8 10 + -1x = (3 * -2 + x * -2) + -8 10 + -1x = (-6 + -2x) + -8 Reorder the terms: 10 + -1x = -6 + -8 + -2x Combine like terms: -6 + -8 = -14 10 + -1x = -14 + -2x Solving 10 + -1x = -14 + -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. 10 + -1x + 2x = -14 + -2x + 2x Combine like terms: -1x + 2x = 1x 10 + 1x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 1x = -14 + 0 10 + 1x = -14 Add '-10' to each side of the equation. 10 + -10 + 1x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -14 + -10 1x = -14 + -10 Combine like terms: -14 + -10 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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