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Simplifying 2(7x + -10) + -4(3x + -7) = 5(4x + -5) + -3(2x + 5) Reorder the terms: 2(-10 + 7x) + -4(3x + -7) = 5(4x + -5) + -3(2x + 5) (-10 * 2 + 7x * 2) + -4(3x + -7) = 5(4x + -5) + -3(2x + 5) (-20 + 14x) + -4(3x + -7) = 5(4x + -5) + -3(2x + 5) Reorder the terms: -20 + 14x + -4(-7 + 3x) = 5(4x + -5) + -3(2x + 5) -20 + 14x + (-7 * -4 + 3x * -4) = 5(4x + -5) + -3(2x + 5) -20 + 14x + (28 + -12x) = 5(4x + -5) + -3(2x + 5) Reorder the terms: -20 + 28 + 14x + -12x = 5(4x + -5) + -3(2x + 5) Combine like terms: -20 + 28 = 8 8 + 14x + -12x = 5(4x + -5) + -3(2x + 5) Combine like terms: 14x + -12x = 2x 8 + 2x = 5(4x + -5) + -3(2x + 5) Reorder the terms: 8 + 2x = 5(-5 + 4x) + -3(2x + 5) 8 + 2x = (-5 * 5 + 4x * 5) + -3(2x + 5) 8 + 2x = (-25 + 20x) + -3(2x + 5) Reorder the terms: 8 + 2x = -25 + 20x + -3(5 + 2x) 8 + 2x = -25 + 20x + (5 * -3 + 2x * -3) 8 + 2x = -25 + 20x + (-15 + -6x) Reorder the terms: 8 + 2x = -25 + -15 + 20x + -6x Combine like terms: -25 + -15 = -40 8 + 2x = -40 + 20x + -6x Combine like terms: 20x + -6x = 14x 8 + 2x = -40 + 14x Solving 8 + 2x = -40 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 8 + 2x + -14x = -40 + 14x + -14x Combine like terms: 2x + -14x = -12x 8 + -12x = -40 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + -12x = -40 + 0 8 + -12x = -40 Add '-8' to each side of the equation. 8 + -8 + -12x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = -40 + -8 -12x = -40 + -8 Combine like terms: -40 + -8 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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