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Simplifying 1(x + 2) = 2(3x + 5) Reorder the terms: 1(2 + x) = 2(3x + 5) (2 * 1 + x * 1) = 2(3x + 5) (2 + 1x) = 2(3x + 5) Reorder the terms: 2 + 1x = 2(5 + 3x) 2 + 1x = (5 * 2 + 3x * 2) 2 + 1x = (10 + 6x) Solving 2 + 1x = 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. 2 + 1x + -6x = 10 + 6x + -6x Combine like terms: 1x + -6x = -5x 2 + -5x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -5x = 10 + 0 2 + -5x = 10 Add '-2' to each side of the equation. 2 + -2 + -5x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 10 + -2 -5x = 10 + -2 Combine like terms: 10 + -2 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6
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