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Simplifying 5(4 + -5x) + 10 = 2x + 12 (4 * 5 + -5x * 5) + 10 = 2x + 12 (20 + -25x) + 10 = 2x + 12 Reorder the terms: 20 + 10 + -25x = 2x + 12 Combine like terms: 20 + 10 = 30 30 + -25x = 2x + 12 Reorder the terms: 30 + -25x = 12 + 2x Solving 30 + -25x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + -25x + -2x = 12 + 2x + -2x Combine like terms: -25x + -2x = -27x 30 + -27x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + -27x = 12 + 0 30 + -27x = 12 Add '-30' to each side of the equation. 30 + -30 + -27x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -27x = 12 + -30 -27x = 12 + -30 Combine like terms: 12 + -30 = -18 -27x = -18 Divide each side by '-27'. x = 0.6666666667 Simplifying x = 0.6666666667
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