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Simplifying 3(4 + -1x) + -5(x + -2) = 3x + 7(2x + -5) (4 * 3 + -1x * 3) + -5(x + -2) = 3x + 7(2x + -5) (12 + -3x) + -5(x + -2) = 3x + 7(2x + -5) Reorder the terms: 12 + -3x + -5(-2 + x) = 3x + 7(2x + -5) 12 + -3x + (-2 * -5 + x * -5) = 3x + 7(2x + -5) 12 + -3x + (10 + -5x) = 3x + 7(2x + -5) Reorder the terms: 12 + 10 + -3x + -5x = 3x + 7(2x + -5) Combine like terms: 12 + 10 = 22 22 + -3x + -5x = 3x + 7(2x + -5) Combine like terms: -3x + -5x = -8x 22 + -8x = 3x + 7(2x + -5) Reorder the terms: 22 + -8x = 3x + 7(-5 + 2x) 22 + -8x = 3x + (-5 * 7 + 2x * 7) 22 + -8x = 3x + (-35 + 14x) Reorder the terms: 22 + -8x = -35 + 3x + 14x Combine like terms: 3x + 14x = 17x 22 + -8x = -35 + 17x Solving 22 + -8x = -35 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 22 + -8x + -17x = -35 + 17x + -17x Combine like terms: -8x + -17x = -25x 22 + -25x = -35 + 17x + -17x Combine like terms: 17x + -17x = 0 22 + -25x = -35 + 0 22 + -25x = -35 Add '-22' to each side of the equation. 22 + -22 + -25x = -35 + -22 Combine like terms: 22 + -22 = 0 0 + -25x = -35 + -22 -25x = -35 + -22 Combine like terms: -35 + -22 = -57 -25x = -57 Divide each side by '-25'. x = 2.28 Simplifying x = 2.28
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