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Simplifying 5(2x + -4) + -11 = 4 + 3x Reorder the terms: 5(-4 + 2x) + -11 = 4 + 3x (-4 * 5 + 2x * 5) + -11 = 4 + 3x (-20 + 10x) + -11 = 4 + 3x Reorder the terms: -20 + -11 + 10x = 4 + 3x Combine like terms: -20 + -11 = -31 -31 + 10x = 4 + 3x Solving -31 + 10x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -31 + 10x + -3x = 4 + 3x + -3x Combine like terms: 10x + -3x = 7x -31 + 7x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -31 + 7x = 4 + 0 -31 + 7x = 4 Add '31' to each side of the equation. -31 + 31 + 7x = 4 + 31 Combine like terms: -31 + 31 = 0 0 + 7x = 4 + 31 7x = 4 + 31 Combine like terms: 4 + 31 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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