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Simplifying 3x + 2 = 2(5x + 8) + -12 Reorder the terms: 2 + 3x = 2(5x + 8) + -12 Reorder the terms: 2 + 3x = 2(8 + 5x) + -12 2 + 3x = (8 * 2 + 5x * 2) + -12 2 + 3x = (16 + 10x) + -12 Reorder the terms: 2 + 3x = 16 + -12 + 10x Combine like terms: 16 + -12 = 4 2 + 3x = 4 + 10x Solving 2 + 3x = 4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + 3x + -10x = 4 + 10x + -10x Combine like terms: 3x + -10x = -7x 2 + -7x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -7x = 4 + 0 2 + -7x = 4 Add '-2' to each side of the equation. 2 + -2 + -7x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 4 + -2 -7x = 4 + -2 Combine like terms: 4 + -2 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857
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