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Simplifying 8(x + -2) + -3(8x + -9) = -17(x + 1) + 5 Reorder the terms: 8(-2 + x) + -3(8x + -9) = -17(x + 1) + 5 (-2 * 8 + x * 8) + -3(8x + -9) = -17(x + 1) + 5 (-16 + 8x) + -3(8x + -9) = -17(x + 1) + 5 Reorder the terms: -16 + 8x + -3(-9 + 8x) = -17(x + 1) + 5 -16 + 8x + (-9 * -3 + 8x * -3) = -17(x + 1) + 5 -16 + 8x + (27 + -24x) = -17(x + 1) + 5 Reorder the terms: -16 + 27 + 8x + -24x = -17(x + 1) + 5 Combine like terms: -16 + 27 = 11 11 + 8x + -24x = -17(x + 1) + 5 Combine like terms: 8x + -24x = -16x 11 + -16x = -17(x + 1) + 5 Reorder the terms: 11 + -16x = -17(1 + x) + 5 11 + -16x = (1 * -17 + x * -17) + 5 11 + -16x = (-17 + -17x) + 5 Reorder the terms: 11 + -16x = -17 + 5 + -17x Combine like terms: -17 + 5 = -12 11 + -16x = -12 + -17x Solving 11 + -16x = -12 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 11 + -16x + 17x = -12 + -17x + 17x Combine like terms: -16x + 17x = 1x 11 + 1x = -12 + -17x + 17x Combine like terms: -17x + 17x = 0 11 + 1x = -12 + 0 11 + 1x = -12 Add '-11' to each side of the equation. 11 + -11 + 1x = -12 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = -12 + -11 1x = -12 + -11 Combine like terms: -12 + -11 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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