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Simplifying 0.5(x + -5) + -2(x + -5) = 0.4(x + -5) Reorder the terms: 0.5(-5 + x) + -2(x + -5) = 0.4(x + -5) (-5 * 0.5 + x * 0.5) + -2(x + -5) = 0.4(x + -5) (-2.5 + 0.5x) + -2(x + -5) = 0.4(x + -5) Reorder the terms: -2.5 + 0.5x + -2(-5 + x) = 0.4(x + -5) -2.5 + 0.5x + (-5 * -2 + x * -2) = 0.4(x + -5) -2.5 + 0.5x + (10 + -2x) = 0.4(x + -5) Reorder the terms: -2.5 + 10 + 0.5x + -2x = 0.4(x + -5) Combine like terms: -2.5 + 10 = 7.5 7.5 + 0.5x + -2x = 0.4(x + -5) Combine like terms: 0.5x + -2x = -1.5x 7.5 + -1.5x = 0.4(x + -5) Reorder the terms: 7.5 + -1.5x = 0.4(-5 + x) 7.5 + -1.5x = (-5 * 0.4 + x * 0.4) 7.5 + -1.5x = (-2 + 0.4x) Solving 7.5 + -1.5x = -2 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 7.5 + -1.5x + -0.4x = -2 + 0.4x + -0.4x Combine like terms: -1.5x + -0.4x = -1.9x 7.5 + -1.9x = -2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 7.5 + -1.9x = -2 + 0.0 7.5 + -1.9x = -2 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -1.9x = -2 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -1.9x = -2 + -7.5 -1.9x = -2 + -7.5 Combine like terms: -2 + -7.5 = -9.5 -1.9x = -9.5 Divide each side by '-1.9'. x = 5 Simplifying x = 5
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