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Simplifying 1 + 9(x + -2) = 4 + -8(x + -4) Reorder the terms: 1 + 9(-2 + x) = 4 + -8(x + -4) 1 + (-2 * 9 + x * 9) = 4 + -8(x + -4) 1 + (-18 + 9x) = 4 + -8(x + -4) Combine like terms: 1 + -18 = -17 -17 + 9x = 4 + -8(x + -4) Reorder the terms: -17 + 9x = 4 + -8(-4 + x) -17 + 9x = 4 + (-4 * -8 + x * -8) -17 + 9x = 4 + (32 + -8x) Combine like terms: 4 + 32 = 36 -17 + 9x = 36 + -8x Solving -17 + 9x = 36 + -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. -17 + 9x + 8x = 36 + -8x + 8x Combine like terms: 9x + 8x = 17x -17 + 17x = 36 + -8x + 8x Combine like terms: -8x + 8x = 0 -17 + 17x = 36 + 0 -17 + 17x = 36 Add '17' to each side of the equation. -17 + 17 + 17x = 36 + 17 Combine like terms: -17 + 17 = 0 0 + 17x = 36 + 17 17x = 36 + 17 Combine like terms: 36 + 17 = 53 17x = 53 Divide each side by '17'. x = 3.117647059 Simplifying x = 3.117647059
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