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Simplifying 2(3x + -1) + -4x = 5(x + -2) + -1 Reorder the terms: 2(-1 + 3x) + -4x = 5(x + -2) + -1 (-1 * 2 + 3x * 2) + -4x = 5(x + -2) + -1 (-2 + 6x) + -4x = 5(x + -2) + -1 Combine like terms: 6x + -4x = 2x -2 + 2x = 5(x + -2) + -1 Reorder the terms: -2 + 2x = 5(-2 + x) + -1 -2 + 2x = (-2 * 5 + x * 5) + -1 -2 + 2x = (-10 + 5x) + -1 Reorder the terms: -2 + 2x = -10 + -1 + 5x Combine like terms: -10 + -1 = -11 -2 + 2x = -11 + 5x Solving -2 + 2x = -11 + 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. -2 + 2x + -5x = -11 + 5x + -5x Combine like terms: 2x + -5x = -3x -2 + -3x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -3x = -11 + 0 -2 + -3x = -11 Add '2' to each side of the equation. -2 + 2 + -3x = -11 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -11 + 2 -3x = -11 + 2 Combine like terms: -11 + 2 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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