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Simplifying 3 + 8(x + -8) = 9 + -9(x + -4) Reorder the terms: 3 + 8(-8 + x) = 9 + -9(x + -4) 3 + (-8 * 8 + x * 8) = 9 + -9(x + -4) 3 + (-64 + 8x) = 9 + -9(x + -4) Combine like terms: 3 + -64 = -61 -61 + 8x = 9 + -9(x + -4) Reorder the terms: -61 + 8x = 9 + -9(-4 + x) -61 + 8x = 9 + (-4 * -9 + x * -9) -61 + 8x = 9 + (36 + -9x) Combine like terms: 9 + 36 = 45 -61 + 8x = 45 + -9x Solving -61 + 8x = 45 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -61 + 8x + 9x = 45 + -9x + 9x Combine like terms: 8x + 9x = 17x -61 + 17x = 45 + -9x + 9x Combine like terms: -9x + 9x = 0 -61 + 17x = 45 + 0 -61 + 17x = 45 Add '61' to each side of the equation. -61 + 61 + 17x = 45 + 61 Combine like terms: -61 + 61 = 0 0 + 17x = 45 + 61 17x = 45 + 61 Combine like terms: 45 + 61 = 106 17x = 106 Divide each side by '17'. x = 6.235294118 Simplifying x = 6.235294118
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