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Simplifying 2(24x + -24) = 12(3x + -17) Reorder the terms: 2(-24 + 24x) = 12(3x + -17) (-24 * 2 + 24x * 2) = 12(3x + -17) (-48 + 48x) = 12(3x + -17) Reorder the terms: -48 + 48x = 12(-17 + 3x) -48 + 48x = (-17 * 12 + 3x * 12) -48 + 48x = (-204 + 36x) Solving -48 + 48x = -204 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -48 + 48x + -36x = -204 + 36x + -36x Combine like terms: 48x + -36x = 12x -48 + 12x = -204 + 36x + -36x Combine like terms: 36x + -36x = 0 -48 + 12x = -204 + 0 -48 + 12x = -204 Add '48' to each side of the equation. -48 + 48 + 12x = -204 + 48 Combine like terms: -48 + 48 = 0 0 + 12x = -204 + 48 12x = -204 + 48 Combine like terms: -204 + 48 = -156 12x = -156 Divide each side by '12'. x = -13 Simplifying x = -13
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