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Simplifying 2(7x + -10) + -4(3x + -7) = 5(4x + -5) Reorder the terms: 2(-10 + 7x) + -4(3x + -7) = 5(4x + -5) (-10 * 2 + 7x * 2) + -4(3x + -7) = 5(4x + -5) (-20 + 14x) + -4(3x + -7) = 5(4x + -5) Reorder the terms: -20 + 14x + -4(-7 + 3x) = 5(4x + -5) -20 + 14x + (-7 * -4 + 3x * -4) = 5(4x + -5) -20 + 14x + (28 + -12x) = 5(4x + -5) Reorder the terms: -20 + 28 + 14x + -12x = 5(4x + -5) Combine like terms: -20 + 28 = 8 8 + 14x + -12x = 5(4x + -5) Combine like terms: 14x + -12x = 2x 8 + 2x = 5(4x + -5) Reorder the terms: 8 + 2x = 5(-5 + 4x) 8 + 2x = (-5 * 5 + 4x * 5) 8 + 2x = (-25 + 20x) Solving 8 + 2x = -25 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 8 + 2x + -20x = -25 + 20x + -20x Combine like terms: 2x + -20x = -18x 8 + -18x = -25 + 20x + -20x Combine like terms: 20x + -20x = 0 8 + -18x = -25 + 0 8 + -18x = -25 Add '-8' to each side of the equation. 8 + -8 + -18x = -25 + -8 Combine like terms: 8 + -8 = 0 0 + -18x = -25 + -8 -18x = -25 + -8 Combine like terms: -25 + -8 = -33 -18x = -33 Divide each side by '-18'. x = 1.833333333 Simplifying x = 1.833333333
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