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Simplifying 3(2x + -1) + -1(-2x + 7) = 5x + -4 Reorder the terms: 3(-1 + 2x) + -1(-2x + 7) = 5x + -4 (-1 * 3 + 2x * 3) + -1(-2x + 7) = 5x + -4 (-3 + 6x) + -1(-2x + 7) = 5x + -4 Reorder the terms: -3 + 6x + -1(7 + -2x) = 5x + -4 -3 + 6x + (7 * -1 + -2x * -1) = 5x + -4 -3 + 6x + (-7 + 2x) = 5x + -4 Reorder the terms: -3 + -7 + 6x + 2x = 5x + -4 Combine like terms: -3 + -7 = -10 -10 + 6x + 2x = 5x + -4 Combine like terms: 6x + 2x = 8x -10 + 8x = 5x + -4 Reorder the terms: -10 + 8x = -4 + 5x Solving -10 + 8x = -4 + 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. -10 + 8x + -5x = -4 + 5x + -5x Combine like terms: 8x + -5x = 3x -10 + 3x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 3x = -4 + 0 -10 + 3x = -4 Add '10' to each side of the equation. -10 + 10 + 3x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = -4 + 10 3x = -4 + 10 Combine like terms: -4 + 10 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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