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Simplifying 5(2x + -4) = 2x + -4(x + -7) Reorder the terms: 5(-4 + 2x) = 2x + -4(x + -7) (-4 * 5 + 2x * 5) = 2x + -4(x + -7) (-20 + 10x) = 2x + -4(x + -7) Reorder the terms: -20 + 10x = 2x + -4(-7 + x) -20 + 10x = 2x + (-7 * -4 + x * -4) -20 + 10x = 2x + (28 + -4x) Reorder the terms: -20 + 10x = 28 + 2x + -4x Combine like terms: 2x + -4x = -2x -20 + 10x = 28 + -2x Solving -20 + 10x = 28 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + 10x + 2x = 28 + -2x + 2x Combine like terms: 10x + 2x = 12x -20 + 12x = 28 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 12x = 28 + 0 -20 + 12x = 28 Add '20' to each side of the equation. -20 + 20 + 12x = 28 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = 28 + 20 12x = 28 + 20 Combine like terms: 28 + 20 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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