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Simplifying 10(4 + 2x) + -32 = 13 + 2(x + -7) (4 * 10 + 2x * 10) + -32 = 13 + 2(x + -7) (40 + 20x) + -32 = 13 + 2(x + -7) Reorder the terms: 40 + -32 + 20x = 13 + 2(x + -7) Combine like terms: 40 + -32 = 8 8 + 20x = 13 + 2(x + -7) Reorder the terms: 8 + 20x = 13 + 2(-7 + x) 8 + 20x = 13 + (-7 * 2 + x * 2) 8 + 20x = 13 + (-14 + 2x) Combine like terms: 13 + -14 = -1 8 + 20x = -1 + 2x Solving 8 + 20x = -1 + 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 + 20x + -2x = -1 + 2x + -2x Combine like terms: 20x + -2x = 18x 8 + 18x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 18x = -1 + 0 8 + 18x = -1 Add '-8' to each side of the equation. 8 + -8 + 18x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 18x = -1 + -8 18x = -1 + -8 Combine like terms: -1 + -8 = -9 18x = -9 Divide each side by '18'. x = -0.5 Simplifying x = -0.5
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