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Simplifying 0.5(4x + 6) = -2(x + 5) Reorder the terms: 0.5(6 + 4x) = -2(x + 5) (6 * 0.5 + 4x * 0.5) = -2(x + 5) (3 + 2x) = -2(x + 5) Reorder the terms: 3 + 2x = -2(5 + x) 3 + 2x = (5 * -2 + x * -2) 3 + 2x = (-10 + -2x) Solving 3 + 2x = -10 + -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. 3 + 2x + 2x = -10 + -2x + 2x Combine like terms: 2x + 2x = 4x 3 + 4x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 4x = -10 + 0 3 + 4x = -10 Add '-3' to each side of the equation. 3 + -3 + 4x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = -10 + -3 4x = -10 + -3 Combine like terms: -10 + -3 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25
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