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Simplifying 5(x + 8) + 2 = -9(x + -7) + -3 Reorder the terms: 5(8 + x) + 2 = -9(x + -7) + -3 (8 * 5 + x * 5) + 2 = -9(x + -7) + -3 (40 + 5x) + 2 = -9(x + -7) + -3 Reorder the terms: 40 + 2 + 5x = -9(x + -7) + -3 Combine like terms: 40 + 2 = 42 42 + 5x = -9(x + -7) + -3 Reorder the terms: 42 + 5x = -9(-7 + x) + -3 42 + 5x = (-7 * -9 + x * -9) + -3 42 + 5x = (63 + -9x) + -3 Reorder the terms: 42 + 5x = 63 + -3 + -9x Combine like terms: 63 + -3 = 60 42 + 5x = 60 + -9x Solving 42 + 5x = 60 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 42 + 5x + 9x = 60 + -9x + 9x Combine like terms: 5x + 9x = 14x 42 + 14x = 60 + -9x + 9x Combine like terms: -9x + 9x = 0 42 + 14x = 60 + 0 42 + 14x = 60 Add '-42' to each side of the equation. 42 + -42 + 14x = 60 + -42 Combine like terms: 42 + -42 = 0 0 + 14x = 60 + -42 14x = 60 + -42 Combine like terms: 60 + -42 = 18 14x = 18 Divide each side by '14'. x = 1.285714286 Simplifying x = 1.285714286
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