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Simplifying -3(4x + 2) + -1x = 5(2 + -3x) + 8 Reorder the terms: -3(2 + 4x) + -1x = 5(2 + -3x) + 8 (2 * -3 + 4x * -3) + -1x = 5(2 + -3x) + 8 (-6 + -12x) + -1x = 5(2 + -3x) + 8 Combine like terms: -12x + -1x = -13x -6 + -13x = 5(2 + -3x) + 8 -6 + -13x = (2 * 5 + -3x * 5) + 8 -6 + -13x = (10 + -15x) + 8 Reorder the terms: -6 + -13x = 10 + 8 + -15x Combine like terms: 10 + 8 = 18 -6 + -13x = 18 + -15x Solving -6 + -13x = 18 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -6 + -13x + 15x = 18 + -15x + 15x Combine like terms: -13x + 15x = 2x -6 + 2x = 18 + -15x + 15x Combine like terms: -15x + 15x = 0 -6 + 2x = 18 + 0 -6 + 2x = 18 Add '6' to each side of the equation. -6 + 6 + 2x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 18 + 6 2x = 18 + 6 Combine like terms: 18 + 6 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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