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Simplifying (21x + -12) + -1(12x + -24) = 12x + -24 Reorder the terms: (-12 + 21x) + -1(12x + -24) = 12x + -24 Remove parenthesis around (-12 + 21x) -12 + 21x + -1(12x + -24) = 12x + -24 Reorder the terms: -12 + 21x + -1(-24 + 12x) = 12x + -24 -12 + 21x + (-24 * -1 + 12x * -1) = 12x + -24 -12 + 21x + (24 + -12x) = 12x + -24 Reorder the terms: -12 + 24 + 21x + -12x = 12x + -24 Combine like terms: -12 + 24 = 12 12 + 21x + -12x = 12x + -24 Combine like terms: 21x + -12x = 9x 12 + 9x = 12x + -24 Reorder the terms: 12 + 9x = -24 + 12x Solving 12 + 9x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + 9x + -12x = -24 + 12x + -12x Combine like terms: 9x + -12x = -3x 12 + -3x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -3x = -24 + 0 12 + -3x = -24 Add '-12' to each side of the equation. 12 + -12 + -3x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -24 + -12 -3x = -24 + -12 Combine like terms: -24 + -12 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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