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Simplifying 3(2x + -4) + -1 = 2 + -5x Reorder the terms: 3(-4 + 2x) + -1 = 2 + -5x (-4 * 3 + 2x * 3) + -1 = 2 + -5x (-12 + 6x) + -1 = 2 + -5x Reorder the terms: -12 + -1 + 6x = 2 + -5x Combine like terms: -12 + -1 = -13 -13 + 6x = 2 + -5x Solving -13 + 6x = 2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -13 + 6x + 5x = 2 + -5x + 5x Combine like terms: 6x + 5x = 11x -13 + 11x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 -13 + 11x = 2 + 0 -13 + 11x = 2 Add '13' to each side of the equation. -13 + 13 + 11x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 11x = 2 + 13 11x = 2 + 13 Combine like terms: 2 + 13 = 15 11x = 15 Divide each side by '11'. x = 1.363636364 Simplifying x = 1.363636364
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