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Simplifying 3(x + 1) + 10 = -2x + 8 Reorder the terms: 3(1 + x) + 10 = -2x + 8 (1 * 3 + x * 3) + 10 = -2x + 8 (3 + 3x) + 10 = -2x + 8 Reorder the terms: 3 + 10 + 3x = -2x + 8 Combine like terms: 3 + 10 = 13 13 + 3x = -2x + 8 Reorder the terms: 13 + 3x = 8 + -2x Solving 13 + 3x = 8 + -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. 13 + 3x + 2x = 8 + -2x + 2x Combine like terms: 3x + 2x = 5x 13 + 5x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 5x = 8 + 0 13 + 5x = 8 Add '-13' to each side of the equation. 13 + -13 + 5x = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 8 + -13 5x = 8 + -13 Combine like terms: 8 + -13 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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