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Simplifying 4(2x + -1) + -1(5x + -14) = 9 + -1(3 + 2x) Reorder the terms: 4(-1 + 2x) + -1(5x + -14) = 9 + -1(3 + 2x) (-1 * 4 + 2x * 4) + -1(5x + -14) = 9 + -1(3 + 2x) (-4 + 8x) + -1(5x + -14) = 9 + -1(3 + 2x) Reorder the terms: -4 + 8x + -1(-14 + 5x) = 9 + -1(3 + 2x) -4 + 8x + (-14 * -1 + 5x * -1) = 9 + -1(3 + 2x) -4 + 8x + (14 + -5x) = 9 + -1(3 + 2x) Reorder the terms: -4 + 14 + 8x + -5x = 9 + -1(3 + 2x) Combine like terms: -4 + 14 = 10 10 + 8x + -5x = 9 + -1(3 + 2x) Combine like terms: 8x + -5x = 3x 10 + 3x = 9 + -1(3 + 2x) 10 + 3x = 9 + (3 * -1 + 2x * -1) 10 + 3x = 9 + (-3 + -2x) Combine like terms: 9 + -3 = 6 10 + 3x = 6 + -2x Solving 10 + 3x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + 3x + 2x = 6 + -2x + 2x Combine like terms: 3x + 2x = 5x 10 + 5x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 5x = 6 + 0 10 + 5x = 6 Add '-10' to each side of the equation. 10 + -10 + 5x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 6 + -10 5x = 6 + -10 Combine like terms: 6 + -10 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8
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