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Simplifying 35(-5x + 13) + -22 = 12(7 + -7x) + 101 + -2(-11x + -11) Reorder the terms: 35(13 + -5x) + -22 = 12(7 + -7x) + 101 + -2(-11x + -11) (13 * 35 + -5x * 35) + -22 = 12(7 + -7x) + 101 + -2(-11x + -11) (455 + -175x) + -22 = 12(7 + -7x) + 101 + -2(-11x + -11) Reorder the terms: 455 + -22 + -175x = 12(7 + -7x) + 101 + -2(-11x + -11) Combine like terms: 455 + -22 = 433 433 + -175x = 12(7 + -7x) + 101 + -2(-11x + -11) 433 + -175x = (7 * 12 + -7x * 12) + 101 + -2(-11x + -11) 433 + -175x = (84 + -84x) + 101 + -2(-11x + -11) Reorder the terms: 433 + -175x = 84 + -84x + 101 + -2(-11 + -11x) 433 + -175x = 84 + -84x + 101 + (-11 * -2 + -11x * -2) 433 + -175x = 84 + -84x + 101 + (22 + 22x) Reorder the terms: 433 + -175x = 84 + 101 + 22 + -84x + 22x Combine like terms: 84 + 101 = 185 433 + -175x = 185 + 22 + -84x + 22x Combine like terms: 185 + 22 = 207 433 + -175x = 207 + -84x + 22x Combine like terms: -84x + 22x = -62x 433 + -175x = 207 + -62x Solving 433 + -175x = 207 + -62x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '62x' to each side of the equation. 433 + -175x + 62x = 207 + -62x + 62x Combine like terms: -175x + 62x = -113x 433 + -113x = 207 + -62x + 62x Combine like terms: -62x + 62x = 0 433 + -113x = 207 + 0 433 + -113x = 207 Add '-433' to each side of the equation. 433 + -433 + -113x = 207 + -433 Combine like terms: 433 + -433 = 0 0 + -113x = 207 + -433 -113x = 207 + -433 Combine like terms: 207 + -433 = -226 -113x = -226 Divide each side by '-113'. x = 2 Simplifying x = 2
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