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Simplifying 5(12 + -3x) + -9x = 4(3 + -2x) (12 * 5 + -3x * 5) + -9x = 4(3 + -2x) (60 + -15x) + -9x = 4(3 + -2x) Combine like terms: -15x + -9x = -24x 60 + -24x = 4(3 + -2x) 60 + -24x = (3 * 4 + -2x * 4) 60 + -24x = (12 + -8x) Solving 60 + -24x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 60 + -24x + 8x = 12 + -8x + 8x Combine like terms: -24x + 8x = -16x 60 + -16x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 60 + -16x = 12 + 0 60 + -16x = 12 Add '-60' to each side of the equation. 60 + -60 + -16x = 12 + -60 Combine like terms: 60 + -60 = 0 0 + -16x = 12 + -60 -16x = 12 + -60 Combine like terms: 12 + -60 = -48 -16x = -48 Divide each side by '-16'. x = 3 Simplifying x = 3
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