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Simplifying 7 + -5(2 + -4x) = -8(-5 + 3x) 7 + (2 * -5 + -4x * -5) = -8(-5 + 3x) 7 + (-10 + 20x) = -8(-5 + 3x) Combine like terms: 7 + -10 = -3 -3 + 20x = -8(-5 + 3x) -3 + 20x = (-5 * -8 + 3x * -8) -3 + 20x = (40 + -24x) Solving -3 + 20x = 40 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -3 + 20x + 24x = 40 + -24x + 24x Combine like terms: 20x + 24x = 44x -3 + 44x = 40 + -24x + 24x Combine like terms: -24x + 24x = 0 -3 + 44x = 40 + 0 -3 + 44x = 40 Add '3' to each side of the equation. -3 + 3 + 44x = 40 + 3 Combine like terms: -3 + 3 = 0 0 + 44x = 40 + 3 44x = 40 + 3 Combine like terms: 40 + 3 = 43 44x = 43 Divide each side by '44'. x = 0.9772727273 Simplifying x = 0.9772727273
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