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Simplifying 0.5(6x + 4) = -2(-1x + 3) Reorder the terms: 0.5(4 + 6x) = -2(-1x + 3) (4 * 0.5 + 6x * 0.5) = -2(-1x + 3) (2 + 3x) = -2(-1x + 3) Reorder the terms: 2 + 3x = -2(3 + -1x) 2 + 3x = (3 * -2 + -1x * -2) 2 + 3x = (-6 + 2x) Solving 2 + 3x = -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. 2 + 3x + -2x = -6 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = -6 + 0 2 + 1x = -6 Add '-2' to each side of the equation. 2 + -2 + 1x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -6 + -2 1x = -6 + -2 Combine like terms: -6 + -2 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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