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Simplifying -2(x + -3) = -2 + 4(2x + -3) Reorder the terms: -2(-3 + x) = -2 + 4(2x + -3) (-3 * -2 + x * -2) = -2 + 4(2x + -3) (6 + -2x) = -2 + 4(2x + -3) Reorder the terms: 6 + -2x = -2 + 4(-3 + 2x) 6 + -2x = -2 + (-3 * 4 + 2x * 4) 6 + -2x = -2 + (-12 + 8x) Combine like terms: -2 + -12 = -14 6 + -2x = -14 + 8x Solving 6 + -2x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + -2x + -8x = -14 + 8x + -8x Combine like terms: -2x + -8x = -10x 6 + -10x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -10x = -14 + 0 6 + -10x = -14 Add '-6' to each side of the equation. 6 + -6 + -10x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = -14 + -6 -10x = -14 + -6 Combine like terms: -14 + -6 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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