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Simplifying 0.6(10 + 5x) = 2(x + -1) (10 * 0.6 + 5x * 0.6) = 2(x + -1) (6 + 3x) = 2(x + -1) Reorder the terms: 6 + 3x = 2(-1 + x) 6 + 3x = (-1 * 2 + x * 2) 6 + 3x = (-2 + 2x) Solving 6 + 3x = -2 + 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. 6 + 3x + -2x = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x 6 + 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 1x = -2 + 0 6 + 1x = -2 Add '-6' to each side of the equation. 6 + -6 + 1x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -2 + -6 1x = -2 + -6 Combine like terms: -2 + -6 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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