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Simplifying (x + -2) + -2(x + 4) = 3(2x + -3) Reorder the terms: (-2 + x) + -2(x + 4) = 3(2x + -3) Remove parenthesis around (-2 + x) -2 + x + -2(x + 4) = 3(2x + -3) Reorder the terms: -2 + x + -2(4 + x) = 3(2x + -3) -2 + x + (4 * -2 + x * -2) = 3(2x + -3) -2 + x + (-8 + -2x) = 3(2x + -3) Reorder the terms: -2 + -8 + x + -2x = 3(2x + -3) Combine like terms: -2 + -8 = -10 -10 + x + -2x = 3(2x + -3) Combine like terms: x + -2x = -1x -10 + -1x = 3(2x + -3) Reorder the terms: -10 + -1x = 3(-3 + 2x) -10 + -1x = (-3 * 3 + 2x * 3) -10 + -1x = (-9 + 6x) Solving -10 + -1x = -9 + 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. -10 + -1x + -6x = -9 + 6x + -6x Combine like terms: -1x + -6x = -7x -10 + -7x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -7x = -9 + 0 -10 + -7x = -9 Add '10' to each side of the equation. -10 + 10 + -7x = -9 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = -9 + 10 -7x = -9 + 10 Combine like terms: -9 + 10 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429
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