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Simplifying 9(3 + -1x) + 5x + -2 = -2(-4x + 3) + -4 (3 * 9 + -1x * 9) + 5x + -2 = -2(-4x + 3) + -4 (27 + -9x) + 5x + -2 = -2(-4x + 3) + -4 Reorder the terms: 27 + -2 + -9x + 5x = -2(-4x + 3) + -4 Combine like terms: 27 + -2 = 25 25 + -9x + 5x = -2(-4x + 3) + -4 Combine like terms: -9x + 5x = -4x 25 + -4x = -2(-4x + 3) + -4 Reorder the terms: 25 + -4x = -2(3 + -4x) + -4 25 + -4x = (3 * -2 + -4x * -2) + -4 25 + -4x = (-6 + 8x) + -4 Reorder the terms: 25 + -4x = -6 + -4 + 8x Combine like terms: -6 + -4 = -10 25 + -4x = -10 + 8x Solving 25 + -4x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 25 + -4x + -8x = -10 + 8x + -8x Combine like terms: -4x + -8x = -12x 25 + -12x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + -12x = -10 + 0 25 + -12x = -10 Add '-25' to each side of the equation. 25 + -25 + -12x = -10 + -25 Combine like terms: 25 + -25 = 0 0 + -12x = -10 + -25 -12x = -10 + -25 Combine like terms: -10 + -25 = -35 -12x = -35 Divide each side by '-12'. x = 2.916666667 Simplifying x = 2.916666667
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