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Simplifying 8(x + 3) = -3(9 + -4x) + 17 Reorder the terms: 8(3 + x) = -3(9 + -4x) + 17 (3 * 8 + x * 8) = -3(9 + -4x) + 17 (24 + 8x) = -3(9 + -4x) + 17 24 + 8x = (9 * -3 + -4x * -3) + 17 24 + 8x = (-27 + 12x) + 17 Reorder the terms: 24 + 8x = -27 + 17 + 12x Combine like terms: -27 + 17 = -10 24 + 8x = -10 + 12x Solving 24 + 8x = -10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + 8x + -12x = -10 + 12x + -12x Combine like terms: 8x + -12x = -4x 24 + -4x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -4x = -10 + 0 24 + -4x = -10 Add '-24' to each side of the equation. 24 + -24 + -4x = -10 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = -10 + -24 -4x = -10 + -24 Combine like terms: -10 + -24 = -34 -4x = -34 Divide each side by '-4'. x = 8.5 Simplifying x = 8.5
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