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Simplifying 5(0.40x + 3) + -4 = 0.5(x + -8) + -1x Reorder the terms: 5(3 + 0.40x) + -4 = 0.5(x + -8) + -1x (3 * 5 + 0.40x * 5) + -4 = 0.5(x + -8) + -1x (15 + 2x) + -4 = 0.5(x + -8) + -1x Reorder the terms: 15 + -4 + 2x = 0.5(x + -8) + -1x Combine like terms: 15 + -4 = 11 11 + 2x = 0.5(x + -8) + -1x Reorder the terms: 11 + 2x = 0.5(-8 + x) + -1x 11 + 2x = (-8 * 0.5 + x * 0.5) + -1x 11 + 2x = (-4 + 0.5x) + -1x Combine like terms: 0.5x + -1x = -0.5x 11 + 2x = -4 + -0.5x Solving 11 + 2x = -4 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 11 + 2x + 0.5x = -4 + -0.5x + 0.5x Combine like terms: 2x + 0.5x = 2.5x 11 + 2.5x = -4 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 11 + 2.5x = -4 + 0.0 11 + 2.5x = -4 Add '-11' to each side of the equation. 11 + -11 + 2.5x = -4 + -11 Combine like terms: 11 + -11 = 0 0 + 2.5x = -4 + -11 2.5x = -4 + -11 Combine like terms: -4 + -11 = -15 2.5x = -15 Divide each side by '2.5'. x = -6 Simplifying x = -6
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