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Simplifying 5(x + 3) + -7 = 2(x + 2) + -4 Reorder the terms: 5(3 + x) + -7 = 2(x + 2) + -4 (3 * 5 + x * 5) + -7 = 2(x + 2) + -4 (15 + 5x) + -7 = 2(x + 2) + -4 Reorder the terms: 15 + -7 + 5x = 2(x + 2) + -4 Combine like terms: 15 + -7 = 8 8 + 5x = 2(x + 2) + -4 Reorder the terms: 8 + 5x = 2(2 + x) + -4 8 + 5x = (2 * 2 + x * 2) + -4 8 + 5x = (4 + 2x) + -4 Reorder the terms: 8 + 5x = 4 + -4 + 2x Combine like terms: 4 + -4 = 0 8 + 5x = 0 + 2x 8 + 5x = 2x Solving 8 + 5x = 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 = 2x + -2x Combine like terms: 5x + -2x = 3x 8 + 3x = 2x + -2x Combine like terms: 2x + -2x = 0 8 + 3x = 0 Add '-8' to each side of the equation. 8 + -8 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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