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Simplifying 3(x + 1) = 8x + 6 + 5x + 9 Reorder the terms: 3(1 + x) = 8x + 6 + 5x + 9 (1 * 3 + x * 3) = 8x + 6 + 5x + 9 (3 + 3x) = 8x + 6 + 5x + 9 Reorder the terms: 3 + 3x = 6 + 9 + 8x + 5x Combine like terms: 6 + 9 = 15 3 + 3x = 15 + 8x + 5x Combine like terms: 8x + 5x = 13x 3 + 3x = 15 + 13x Solving 3 + 3x = 15 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 3 + 3x + -13x = 15 + 13x + -13x Combine like terms: 3x + -13x = -10x 3 + -10x = 15 + 13x + -13x Combine like terms: 13x + -13x = 0 3 + -10x = 15 + 0 3 + -10x = 15 Add '-3' to each side of the equation. 3 + -3 + -10x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = 15 + -3 -10x = 15 + -3 Combine like terms: 15 + -3 = 12 -10x = 12 Divide each side by '-10'. x = -1.2 Simplifying x = -1.2
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