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Simplifying 6 + 9(x + -4) = 10 + -8(x + -2) Reorder the terms: 6 + 9(-4 + x) = 10 + -8(x + -2) 6 + (-4 * 9 + x * 9) = 10 + -8(x + -2) 6 + (-36 + 9x) = 10 + -8(x + -2) Combine like terms: 6 + -36 = -30 -30 + 9x = 10 + -8(x + -2) Reorder the terms: -30 + 9x = 10 + -8(-2 + x) -30 + 9x = 10 + (-2 * -8 + x * -8) -30 + 9x = 10 + (16 + -8x) Combine like terms: 10 + 16 = 26 -30 + 9x = 26 + -8x Solving -30 + 9x = 26 + -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. -30 + 9x + 8x = 26 + -8x + 8x Combine like terms: 9x + 8x = 17x -30 + 17x = 26 + -8x + 8x Combine like terms: -8x + 8x = 0 -30 + 17x = 26 + 0 -30 + 17x = 26 Add '30' to each side of the equation. -30 + 30 + 17x = 26 + 30 Combine like terms: -30 + 30 = 0 0 + 17x = 26 + 30 17x = 26 + 30 Combine like terms: 26 + 30 = 56 17x = 56 Divide each side by '17'. x = 3.294117647 Simplifying x = 3.294117647
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