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Simplifying 0.5(5x + 40) + 2x = 6x + -10 Reorder the terms: 0.5(40 + 5x) + 2x = 6x + -10 (40 * 0.5 + 5x * 0.5) + 2x = 6x + -10 (20 + 2.5x) + 2x = 6x + -10 Combine like terms: 2.5x + 2x = 4.5x 20 + 4.5x = 6x + -10 Reorder the terms: 20 + 4.5x = -10 + 6x Solving 20 + 4.5x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 4.5x + -6x = -10 + 6x + -6x Combine like terms: 4.5x + -6x = -1.5x 20 + -1.5x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -1.5x = -10 + 0 20 + -1.5x = -10 Add '-20' to each side of the equation. 20 + -20 + -1.5x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -1.5x = -10 + -20 -1.5x = -10 + -20 Combine like terms: -10 + -20 = -30 -1.5x = -30 Divide each side by '-1.5'. x = 20 Simplifying x = 20
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