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Simplifying 0.5(22 + -10x) = 4(2.5x + -2) (22 * 0.5 + -10x * 0.5) = 4(2.5x + -2) (11 + -5x) = 4(2.5x + -2) Reorder the terms: 11 + -5x = 4(-2 + 2.5x) 11 + -5x = (-2 * 4 + 2.5x * 4) 11 + -5x = (-8 + 10x) Solving 11 + -5x = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 11 + -5x + -10x = -8 + 10x + -10x Combine like terms: -5x + -10x = -15x 11 + -15x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + -15x = -8 + 0 11 + -15x = -8 Add '-11' to each side of the equation. 11 + -11 + -15x = -8 + -11 Combine like terms: 11 + -11 = 0 0 + -15x = -8 + -11 -15x = -8 + -11 Combine like terms: -8 + -11 = -19 -15x = -19 Divide each side by '-15'. x = 1.266666667 Simplifying x = 1.266666667
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