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Simplifying 29 + -41 = 19 + -1(-1x + 12) Combine like terms: 29 + -41 = -12 -12 = 19 + -1(-1x + 12) Reorder the terms: -12 = 19 + -1(12 + -1x) -12 = 19 + (12 * -1 + -1x * -1) -12 = 19 + (-12 + 1x) Combine like terms: 19 + -12 = 7 -12 = 7 + 1x Solving -12 = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + -1x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + -1x = 7 + 0 -12 + -1x = 7 Add '12' to each side of the equation. -12 + 12 + -1x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 7 + 12 -1x = 7 + 12 Combine like terms: 7 + 12 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19
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