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Simplifying 2(x + 3) = -4(-1x + 1) Reorder the terms: 2(3 + x) = -4(-1x + 1) (3 * 2 + x * 2) = -4(-1x + 1) (6 + 2x) = -4(-1x + 1) Reorder the terms: 6 + 2x = -4(1 + -1x) 6 + 2x = (1 * -4 + -1x * -4) 6 + 2x = (-4 + 4x) Solving 6 + 2x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 2x + -4x = -4 + 4x + -4x Combine like terms: 2x + -4x = -2x 6 + -2x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -2x = -4 + 0 6 + -2x = -4 Add '-6' to each side of the equation. 6 + -6 + -2x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -4 + -6 -2x = -4 + -6 Combine like terms: -4 + -6 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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