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Simplifying -5(3x + -12) = x + 2(4x + 6) Reorder the terms: -5(-12 + 3x) = x + 2(4x + 6) (-12 * -5 + 3x * -5) = x + 2(4x + 6) (60 + -15x) = x + 2(4x + 6) Reorder the terms: 60 + -15x = x + 2(6 + 4x) 60 + -15x = x + (6 * 2 + 4x * 2) 60 + -15x = x + (12 + 8x) Reorder the terms: 60 + -15x = 12 + x + 8x Combine like terms: x + 8x = 9x 60 + -15x = 12 + 9x Solving 60 + -15x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 60 + -15x + -9x = 12 + 9x + -9x Combine like terms: -15x + -9x = -24x 60 + -24x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 60 + -24x = 12 + 0 60 + -24x = 12 Add '-60' to each side of the equation. 60 + -60 + -24x = 12 + -60 Combine like terms: 60 + -60 = 0 0 + -24x = 12 + -60 -24x = 12 + -60 Combine like terms: 12 + -60 = -48 -24x = -48 Divide each side by '-24'. x = 2 Simplifying x = 2
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