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Simplifying 4x + 5(2x + -4) = 8 + -10(x + 1) Reorder the terms: 4x + 5(-4 + 2x) = 8 + -10(x + 1) 4x + (-4 * 5 + 2x * 5) = 8 + -10(x + 1) 4x + (-20 + 10x) = 8 + -10(x + 1) Reorder the terms: -20 + 4x + 10x = 8 + -10(x + 1) Combine like terms: 4x + 10x = 14x -20 + 14x = 8 + -10(x + 1) Reorder the terms: -20 + 14x = 8 + -10(1 + x) -20 + 14x = 8 + (1 * -10 + x * -10) -20 + 14x = 8 + (-10 + -10x) Combine like terms: 8 + -10 = -2 -20 + 14x = -2 + -10x Solving -20 + 14x = -2 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -20 + 14x + 10x = -2 + -10x + 10x Combine like terms: 14x + 10x = 24x -20 + 24x = -2 + -10x + 10x Combine like terms: -10x + 10x = 0 -20 + 24x = -2 + 0 -20 + 24x = -2 Add '20' to each side of the equation. -20 + 20 + 24x = -2 + 20 Combine like terms: -20 + 20 = 0 0 + 24x = -2 + 20 24x = -2 + 20 Combine like terms: -2 + 20 = 18 24x = 18 Divide each side by '24'. x = 0.75 Simplifying x = 0.75
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