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Simplifying 3x + 5 + -2(-4x + -2) = 2(x + -3) Reorder the terms: 3x + 5 + -2(-2 + -4x) = 2(x + -3) 3x + 5 + (-2 * -2 + -4x * -2) = 2(x + -3) 3x + 5 + (4 + 8x) = 2(x + -3) Reorder the terms: 5 + 4 + 3x + 8x = 2(x + -3) Combine like terms: 5 + 4 = 9 9 + 3x + 8x = 2(x + -3) Combine like terms: 3x + 8x = 11x 9 + 11x = 2(x + -3) Reorder the terms: 9 + 11x = 2(-3 + x) 9 + 11x = (-3 * 2 + x * 2) 9 + 11x = (-6 + 2x) Solving 9 + 11x = -6 + 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. 9 + 11x + -2x = -6 + 2x + -2x Combine like terms: 11x + -2x = 9x 9 + 9x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 9x = -6 + 0 9 + 9x = -6 Add '-9' to each side of the equation. 9 + -9 + 9x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = -6 + -9 9x = -6 + -9 Combine like terms: -6 + -9 = -15 9x = -15 Divide each side by '9'. x = -1.666666667 Simplifying x = -1.666666667
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