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Simplifying 8(13 + -1x) + -1(x + -12) = x + -3(x + -9) + 5 (13 * 8 + -1x * 8) + -1(x + -12) = x + -3(x + -9) + 5 (104 + -8x) + -1(x + -12) = x + -3(x + -9) + 5 Reorder the terms: 104 + -8x + -1(-12 + x) = x + -3(x + -9) + 5 104 + -8x + (-12 * -1 + x * -1) = x + -3(x + -9) + 5 104 + -8x + (12 + -1x) = x + -3(x + -9) + 5 Reorder the terms: 104 + 12 + -8x + -1x = x + -3(x + -9) + 5 Combine like terms: 104 + 12 = 116 116 + -8x + -1x = x + -3(x + -9) + 5 Combine like terms: -8x + -1x = -9x 116 + -9x = x + -3(x + -9) + 5 Reorder the terms: 116 + -9x = x + -3(-9 + x) + 5 116 + -9x = x + (-9 * -3 + x * -3) + 5 116 + -9x = x + (27 + -3x) + 5 Reorder the terms: 116 + -9x = 27 + 5 + x + -3x Combine like terms: 27 + 5 = 32 116 + -9x = 32 + x + -3x Combine like terms: x + -3x = -2x 116 + -9x = 32 + -2x Solving 116 + -9x = 32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 116 + -9x + 2x = 32 + -2x + 2x Combine like terms: -9x + 2x = -7x 116 + -7x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 116 + -7x = 32 + 0 116 + -7x = 32 Add '-116' to each side of the equation. 116 + -116 + -7x = 32 + -116 Combine like terms: 116 + -116 = 0 0 + -7x = 32 + -116 -7x = 32 + -116 Combine like terms: 32 + -116 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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