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Simplifying 3(3x + -14) = -1(x + -8) Reorder the terms: 3(-14 + 3x) = -1(x + -8) (-14 * 3 + 3x * 3) = -1(x + -8) (-42 + 9x) = -1(x + -8) Reorder the terms: -42 + 9x = -1(-8 + x) -42 + 9x = (-8 * -1 + x * -1) -42 + 9x = (8 + -1x) Solving -42 + 9x = 8 + -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. -42 + 9x + x = 8 + -1x + x Combine like terms: 9x + x = 10x -42 + 10x = 8 + -1x + x Combine like terms: -1x + x = 0 -42 + 10x = 8 + 0 -42 + 10x = 8 Add '42' to each side of the equation. -42 + 42 + 10x = 8 + 42 Combine like terms: -42 + 42 = 0 0 + 10x = 8 + 42 10x = 8 + 42 Combine like terms: 8 + 42 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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