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Simplifying 24 + -1(18x + -2) = 28 + -1(15x + -34) Reorder the terms: 24 + -1(-2 + 18x) = 28 + -1(15x + -34) 24 + (-2 * -1 + 18x * -1) = 28 + -1(15x + -34) 24 + (2 + -18x) = 28 + -1(15x + -34) Combine like terms: 24 + 2 = 26 26 + -18x = 28 + -1(15x + -34) Reorder the terms: 26 + -18x = 28 + -1(-34 + 15x) 26 + -18x = 28 + (-34 * -1 + 15x * -1) 26 + -18x = 28 + (34 + -15x) Combine like terms: 28 + 34 = 62 26 + -18x = 62 + -15x Solving 26 + -18x = 62 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 26 + -18x + 15x = 62 + -15x + 15x Combine like terms: -18x + 15x = -3x 26 + -3x = 62 + -15x + 15x Combine like terms: -15x + 15x = 0 26 + -3x = 62 + 0 26 + -3x = 62 Add '-26' to each side of the equation. 26 + -26 + -3x = 62 + -26 Combine like terms: 26 + -26 = 0 0 + -3x = 62 + -26 -3x = 62 + -26 Combine like terms: 62 + -26 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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