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Simplifying 0.5(6x + 10) = 2(x + -3) Reorder the terms: 0.5(10 + 6x) = 2(x + -3) (10 * 0.5 + 6x * 0.5) = 2(x + -3) (5 + 3x) = 2(x + -3) Reorder the terms: 5 + 3x = 2(-3 + x) 5 + 3x = (-3 * 2 + x * 2) 5 + 3x = (-6 + 2x) Solving 5 + 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. 5 + 3x + -2x = -6 + 2x + -2x Combine like terms: 3x + -2x = 1x 5 + 1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 1x = -6 + 0 5 + 1x = -6 Add '-5' to each side of the equation. 5 + -5 + 1x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -6 + -5 1x = -6 + -5 Combine like terms: -6 + -5 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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