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Simplifying 5x + 8 = 12 + -2(x + 3) Reorder the terms: 8 + 5x = 12 + -2(x + 3) Reorder the terms: 8 + 5x = 12 + -2(3 + x) 8 + 5x = 12 + (3 * -2 + x * -2) 8 + 5x = 12 + (-6 + -2x) Combine like terms: 12 + -6 = 6 8 + 5x = 6 + -2x Solving 8 + 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. 8 + 5x + 2x = 6 + -2x + 2x Combine like terms: 5x + 2x = 7x 8 + 7x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 7x = 6 + 0 8 + 7x = 6 Add '-8' to each side of the equation. 8 + -8 + 7x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 6 + -8 7x = 6 + -8 Combine like terms: 6 + -8 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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