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Simplifying 3(2x + -9) + 2 = -1(x + -3) + -4 Reorder the terms: 3(-9 + 2x) + 2 = -1(x + -3) + -4 (-9 * 3 + 2x * 3) + 2 = -1(x + -3) + -4 (-27 + 6x) + 2 = -1(x + -3) + -4 Reorder the terms: -27 + 2 + 6x = -1(x + -3) + -4 Combine like terms: -27 + 2 = -25 -25 + 6x = -1(x + -3) + -4 Reorder the terms: -25 + 6x = -1(-3 + x) + -4 -25 + 6x = (-3 * -1 + x * -1) + -4 -25 + 6x = (3 + -1x) + -4 Reorder the terms: -25 + 6x = 3 + -4 + -1x Combine like terms: 3 + -4 = -1 -25 + 6x = -1 + -1x Solving -25 + 6x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -25 + 6x + x = -1 + -1x + x Combine like terms: 6x + x = 7x -25 + 7x = -1 + -1x + x Combine like terms: -1x + x = 0 -25 + 7x = -1 + 0 -25 + 7x = -1 Add '25' to each side of the equation. -25 + 25 + 7x = -1 + 25 Combine like terms: -25 + 25 = 0 0 + 7x = -1 + 25 7x = -1 + 25 Combine like terms: -1 + 25 = 24 7x = 24 Divide each side by '7'. x = 3.428571429 Simplifying x = 3.428571429
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