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Simplifying 3 + -2(4x + -5) = 5x + 37 + -1x Reorder the terms: 3 + -2(-5 + 4x) = 5x + 37 + -1x 3 + (-5 * -2 + 4x * -2) = 5x + 37 + -1x 3 + (10 + -8x) = 5x + 37 + -1x Combine like terms: 3 + 10 = 13 13 + -8x = 5x + 37 + -1x Reorder the terms: 13 + -8x = 37 + 5x + -1x Combine like terms: 5x + -1x = 4x 13 + -8x = 37 + 4x Solving 13 + -8x = 37 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + -8x + -4x = 37 + 4x + -4x Combine like terms: -8x + -4x = -12x 13 + -12x = 37 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -12x = 37 + 0 13 + -12x = 37 Add '-13' to each side of the equation. 13 + -13 + -12x = 37 + -13 Combine like terms: 13 + -13 = 0 0 + -12x = 37 + -13 -12x = 37 + -13 Combine like terms: 37 + -13 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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