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Simplifying 2(7x + -4) = 5(2x + 4) Reorder the terms: 2(-4 + 7x) = 5(2x + 4) (-4 * 2 + 7x * 2) = 5(2x + 4) (-8 + 14x) = 5(2x + 4) Reorder the terms: -8 + 14x = 5(4 + 2x) -8 + 14x = (4 * 5 + 2x * 5) -8 + 14x = (20 + 10x) Solving -8 + 14x = 20 + 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. -8 + 14x + -10x = 20 + 10x + -10x Combine like terms: 14x + -10x = 4x -8 + 4x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 4x = 20 + 0 -8 + 4x = 20 Add '8' to each side of the equation. -8 + 8 + 4x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 20 + 8 4x = 20 + 8 Combine like terms: 20 + 8 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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