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Simplifying 2(5x + -4) = 4(x + 7) Reorder the terms: 2(-4 + 5x) = 4(x + 7) (-4 * 2 + 5x * 2) = 4(x + 7) (-8 + 10x) = 4(x + 7) Reorder the terms: -8 + 10x = 4(7 + x) -8 + 10x = (7 * 4 + x * 4) -8 + 10x = (28 + 4x) Solving -8 + 10x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 10x + -4x = 28 + 4x + -4x Combine like terms: 10x + -4x = 6x -8 + 6x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 6x = 28 + 0 -8 + 6x = 28 Add '8' to each side of the equation. -8 + 8 + 6x = 28 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 28 + 8 6x = 28 + 8 Combine like terms: 28 + 8 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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