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Simplifying 10(2 + -1x) + 5x = 2(x + 3) (2 * 10 + -1x * 10) + 5x = 2(x + 3) (20 + -10x) + 5x = 2(x + 3) Combine like terms: -10x + 5x = -5x 20 + -5x = 2(x + 3) Reorder the terms: 20 + -5x = 2(3 + x) 20 + -5x = (3 * 2 + x * 2) 20 + -5x = (6 + 2x) Solving 20 + -5x = 6 + 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. 20 + -5x + -2x = 6 + 2x + -2x Combine like terms: -5x + -2x = -7x 20 + -7x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -7x = 6 + 0 20 + -7x = 6 Add '-20' to each side of the equation. 20 + -20 + -7x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = 6 + -20 -7x = 6 + -20 Combine like terms: 6 + -20 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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