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Simplifying 5(x + 3) + x = 3(x + 4) + -5 Reorder the terms: 5(3 + x) + x = 3(x + 4) + -5 (3 * 5 + x * 5) + x = 3(x + 4) + -5 (15 + 5x) + x = 3(x + 4) + -5 Combine like terms: 5x + x = 6x 15 + 6x = 3(x + 4) + -5 Reorder the terms: 15 + 6x = 3(4 + x) + -5 15 + 6x = (4 * 3 + x * 3) + -5 15 + 6x = (12 + 3x) + -5 Reorder the terms: 15 + 6x = 12 + -5 + 3x Combine like terms: 12 + -5 = 7 15 + 6x = 7 + 3x Solving 15 + 6x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 6x + -3x = 7 + 3x + -3x Combine like terms: 6x + -3x = 3x 15 + 3x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 3x = 7 + 0 15 + 3x = 7 Add '-15' to each side of the equation. 15 + -15 + 3x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 7 + -15 3x = 7 + -15 Combine like terms: 7 + -15 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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