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Simplifying 2(3x + -1) = 5x + -4(7 + -1x) Reorder the terms: 2(-1 + 3x) = 5x + -4(7 + -1x) (-1 * 2 + 3x * 2) = 5x + -4(7 + -1x) (-2 + 6x) = 5x + -4(7 + -1x) -2 + 6x = 5x + (7 * -4 + -1x * -4) -2 + 6x = 5x + (-28 + 4x) Reorder the terms: -2 + 6x = -28 + 5x + 4x Combine like terms: 5x + 4x = 9x -2 + 6x = -28 + 9x Solving -2 + 6x = -28 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 6x + -9x = -28 + 9x + -9x Combine like terms: 6x + -9x = -3x -2 + -3x = -28 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -3x = -28 + 0 -2 + -3x = -28 Add '2' to each side of the equation. -2 + 2 + -3x = -28 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -28 + 2 -3x = -28 + 2 Combine like terms: -28 + 2 = -26 -3x = -26 Divide each side by '-3'. x = 8.666666667 Simplifying x = 8.666666667
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