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Simplifying 10x + -1(2x + 9) = -3(14 + -4x) Reorder the terms: 10x + -1(9 + 2x) = -3(14 + -4x) 10x + (9 * -1 + 2x * -1) = -3(14 + -4x) 10x + (-9 + -2x) = -3(14 + -4x) Reorder the terms: -9 + 10x + -2x = -3(14 + -4x) Combine like terms: 10x + -2x = 8x -9 + 8x = -3(14 + -4x) -9 + 8x = (14 * -3 + -4x * -3) -9 + 8x = (-42 + 12x) Solving -9 + 8x = -42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -9 + 8x + -12x = -42 + 12x + -12x Combine like terms: 8x + -12x = -4x -9 + -4x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -4x = -42 + 0 -9 + -4x = -42 Add '9' to each side of the equation. -9 + 9 + -4x = -42 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = -42 + 9 -4x = -42 + 9 Combine like terms: -42 + 9 = -33 -4x = -33 Divide each side by '-4'. x = 8.25 Simplifying x = 8.25
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