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Simplifying 10(x + 4) + -9(x + 3) = 8(x + 3) Reorder the terms: 10(4 + x) + -9(x + 3) = 8(x + 3) (4 * 10 + x * 10) + -9(x + 3) = 8(x + 3) (40 + 10x) + -9(x + 3) = 8(x + 3) Reorder the terms: 40 + 10x + -9(3 + x) = 8(x + 3) 40 + 10x + (3 * -9 + x * -9) = 8(x + 3) 40 + 10x + (-27 + -9x) = 8(x + 3) Reorder the terms: 40 + -27 + 10x + -9x = 8(x + 3) Combine like terms: 40 + -27 = 13 13 + 10x + -9x = 8(x + 3) Combine like terms: 10x + -9x = 1x 13 + 1x = 8(x + 3) Reorder the terms: 13 + 1x = 8(3 + x) 13 + 1x = (3 * 8 + x * 8) 13 + 1x = (24 + 8x) Solving 13 + 1x = 24 + 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. 13 + 1x + -8x = 24 + 8x + -8x Combine like terms: 1x + -8x = -7x 13 + -7x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + -7x = 24 + 0 13 + -7x = 24 Add '-13' to each side of the equation. 13 + -13 + -7x = 24 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = 24 + -13 -7x = 24 + -13 Combine like terms: 24 + -13 = 11 -7x = 11 Divide each side by '-7'. x = -1.571428571 Simplifying x = -1.571428571
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