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Simplifying 10(0.5x + 3) = 10(0.6x + -1) Reorder the terms: 10(3 + 0.5x) = 10(0.6x + -1) (3 * 10 + 0.5x * 10) = 10(0.6x + -1) (30 + 5x) = 10(0.6x + -1) Reorder the terms: 30 + 5x = 10(-1 + 0.6x) 30 + 5x = (-1 * 10 + 0.6x * 10) 30 + 5x = (-10 + 6x) Solving 30 + 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. 30 + 5x + -6x = -10 + 6x + -6x Combine like terms: 5x + -6x = -1x 30 + -1x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -1x = -10 + 0 30 + -1x = -10 Add '-30' to each side of the equation. 30 + -30 + -1x = -10 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = -10 + -30 -1x = -10 + -30 Combine like terms: -10 + -30 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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