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Simplifying -1(-20x + -12) + -22x = -9x + 7 + -1(9x + -24) + -7 Reorder the terms: -1(-12 + -20x) + -22x = -9x + 7 + -1(9x + -24) + -7 (-12 * -1 + -20x * -1) + -22x = -9x + 7 + -1(9x + -24) + -7 (12 + 20x) + -22x = -9x + 7 + -1(9x + -24) + -7 Combine like terms: 20x + -22x = -2x 12 + -2x = -9x + 7 + -1(9x + -24) + -7 Reorder the terms: 12 + -2x = -9x + 7 + -1(-24 + 9x) + -7 12 + -2x = -9x + 7 + (-24 * -1 + 9x * -1) + -7 12 + -2x = -9x + 7 + (24 + -9x) + -7 Reorder the terms: 12 + -2x = 7 + 24 + -7 + -9x + -9x Combine like terms: 7 + 24 = 31 12 + -2x = 31 + -7 + -9x + -9x Combine like terms: 31 + -7 = 24 12 + -2x = 24 + -9x + -9x Combine like terms: -9x + -9x = -18x 12 + -2x = 24 + -18x Solving 12 + -2x = 24 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 12 + -2x + 18x = 24 + -18x + 18x Combine like terms: -2x + 18x = 16x 12 + 16x = 24 + -18x + 18x Combine like terms: -18x + 18x = 0 12 + 16x = 24 + 0 12 + 16x = 24 Add '-12' to each side of the equation. 12 + -12 + 16x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 16x = 24 + -12 16x = 24 + -12 Combine like terms: 24 + -12 = 12 16x = 12 Divide each side by '16'. x = 0.75 Simplifying x = 0.75
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