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Simplifying -2(2x + -5) = 0.5(6x + 3) Reorder the terms: -2(-5 + 2x) = 0.5(6x + 3) (-5 * -2 + 2x * -2) = 0.5(6x + 3) (10 + -4x) = 0.5(6x + 3) Reorder the terms: 10 + -4x = 0.5(3 + 6x) 10 + -4x = (3 * 0.5 + 6x * 0.5) 10 + -4x = (1.5 + 3x) Solving 10 + -4x = 1.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -4x + -3x = 1.5 + 3x + -3x Combine like terms: -4x + -3x = -7x 10 + -7x = 1.5 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -7x = 1.5 + 0 10 + -7x = 1.5 Add '-10' to each side of the equation. 10 + -10 + -7x = 1.5 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 1.5 + -10 -7x = 1.5 + -10 Combine like terms: 1.5 + -10 = -8.5 -7x = -8.5 Divide each side by '-7'. x = 1.214285714 Simplifying x = 1.214285714
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