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Simplifying 5(12 + -3x) + x = 3(-2x + 4) (12 * 5 + -3x * 5) + x = 3(-2x + 4) (60 + -15x) + x = 3(-2x + 4) Combine like terms: -15x + x = -14x 60 + -14x = 3(-2x + 4) Reorder the terms: 60 + -14x = 3(4 + -2x) 60 + -14x = (4 * 3 + -2x * 3) 60 + -14x = (12 + -6x) Solving 60 + -14x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 60 + -14x + 6x = 12 + -6x + 6x Combine like terms: -14x + 6x = -8x 60 + -8x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 60 + -8x = 12 + 0 60 + -8x = 12 Add '-60' to each side of the equation. 60 + -60 + -8x = 12 + -60 Combine like terms: 60 + -60 = 0 0 + -8x = 12 + -60 -8x = 12 + -60 Combine like terms: 12 + -60 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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