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Simplifying 5 + 3(x + 1) = 5x + -6 Reorder the terms: 5 + 3(1 + x) = 5x + -6 5 + (1 * 3 + x * 3) = 5x + -6 5 + (3 + 3x) = 5x + -6 Combine like terms: 5 + 3 = 8 8 + 3x = 5x + -6 Reorder the terms: 8 + 3x = -6 + 5x Solving 8 + 3x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 3x + -5x = -6 + 5x + -5x Combine like terms: 3x + -5x = -2x 8 + -2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -2x = -6 + 0 8 + -2x = -6 Add '-8' to each side of the equation. 8 + -8 + -2x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -6 + -8 -2x = -6 + -8 Combine like terms: -6 + -8 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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