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Simplifying 10(x + 4) + -9(x + -3) = 8(x + 13) Reorder the terms: 10(4 + x) + -9(x + -3) = 8(x + 13) (4 * 10 + x * 10) + -9(x + -3) = 8(x + 13) (40 + 10x) + -9(x + -3) = 8(x + 13) Reorder the terms: 40 + 10x + -9(-3 + x) = 8(x + 13) 40 + 10x + (-3 * -9 + x * -9) = 8(x + 13) 40 + 10x + (27 + -9x) = 8(x + 13) Reorder the terms: 40 + 27 + 10x + -9x = 8(x + 13) Combine like terms: 40 + 27 = 67 67 + 10x + -9x = 8(x + 13) Combine like terms: 10x + -9x = 1x 67 + 1x = 8(x + 13) Reorder the terms: 67 + 1x = 8(13 + x) 67 + 1x = (13 * 8 + x * 8) 67 + 1x = (104 + 8x) Solving 67 + 1x = 104 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 67 + 1x + -8x = 104 + 8x + -8x Combine like terms: 1x + -8x = -7x 67 + -7x = 104 + 8x + -8x Combine like terms: 8x + -8x = 0 67 + -7x = 104 + 0 67 + -7x = 104 Add '-67' to each side of the equation. 67 + -67 + -7x = 104 + -67 Combine like terms: 67 + -67 = 0 0 + -7x = 104 + -67 -7x = 104 + -67 Combine like terms: 104 + -67 = 37 -7x = 37 Divide each side by '-7'. x = -5.285714286 Simplifying x = -5.285714286
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