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Simplifying -29 = 13(8x + 11) + -10(x + -11) Reorder the terms: -29 = 13(11 + 8x) + -10(x + -11) -29 = (11 * 13 + 8x * 13) + -10(x + -11) -29 = (143 + 104x) + -10(x + -11) Reorder the terms: -29 = 143 + 104x + -10(-11 + x) -29 = 143 + 104x + (-11 * -10 + x * -10) -29 = 143 + 104x + (110 + -10x) Reorder the terms: -29 = 143 + 110 + 104x + -10x Combine like terms: 143 + 110 = 253 -29 = 253 + 104x + -10x Combine like terms: 104x + -10x = 94x -29 = 253 + 94x Solving -29 = 253 + 94x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-94x' to each side of the equation. -29 + -94x = 253 + 94x + -94x Combine like terms: 94x + -94x = 0 -29 + -94x = 253 + 0 -29 + -94x = 253 Add '29' to each side of the equation. -29 + 29 + -94x = 253 + 29 Combine like terms: -29 + 29 = 0 0 + -94x = 253 + 29 -94x = 253 + 29 Combine like terms: 253 + 29 = 282 -94x = 282 Divide each side by '-94'. x = -3 Simplifying x = -3
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