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Simplifying -2(4x + -5) = -3(-4x + 7) Reorder the terms: -2(-5 + 4x) = -3(-4x + 7) (-5 * -2 + 4x * -2) = -3(-4x + 7) (10 + -8x) = -3(-4x + 7) Reorder the terms: 10 + -8x = -3(7 + -4x) 10 + -8x = (7 * -3 + -4x * -3) 10 + -8x = (-21 + 12x) Solving 10 + -8x = -21 + 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. 10 + -8x + -12x = -21 + 12x + -12x Combine like terms: -8x + -12x = -20x 10 + -20x = -21 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -20x = -21 + 0 10 + -20x = -21 Add '-10' to each side of the equation. 10 + -10 + -20x = -21 + -10 Combine like terms: 10 + -10 = 0 0 + -20x = -21 + -10 -20x = -21 + -10 Combine like terms: -21 + -10 = -31 -20x = -31 Divide each side by '-20'. x = 1.55 Simplifying x = 1.55
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