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Simplifying 3x + -2(2x + -4) = 2(x + 3) + -8 Reorder the terms: 3x + -2(-4 + 2x) = 2(x + 3) + -8 3x + (-4 * -2 + 2x * -2) = 2(x + 3) + -8 3x + (8 + -4x) = 2(x + 3) + -8 Reorder the terms: 8 + 3x + -4x = 2(x + 3) + -8 Combine like terms: 3x + -4x = -1x 8 + -1x = 2(x + 3) + -8 Reorder the terms: 8 + -1x = 2(3 + x) + -8 8 + -1x = (3 * 2 + x * 2) + -8 8 + -1x = (6 + 2x) + -8 Reorder the terms: 8 + -1x = 6 + -8 + 2x Combine like terms: 6 + -8 = -2 8 + -1x = -2 + 2x Solving 8 + -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. 8 + -1x + -2x = -2 + 2x + -2x Combine like terms: -1x + -2x = -3x 8 + -3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -3x = -2 + 0 8 + -3x = -2 Add '-8' to each side of the equation. 8 + -8 + -3x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -2 + -8 -3x = -2 + -8 Combine like terms: -2 + -8 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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