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Simplifying 2(5x + -2) = 3(2x + 4) Reorder the terms: 2(-2 + 5x) = 3(2x + 4) (-2 * 2 + 5x * 2) = 3(2x + 4) (-4 + 10x) = 3(2x + 4) Reorder the terms: -4 + 10x = 3(4 + 2x) -4 + 10x = (4 * 3 + 2x * 3) -4 + 10x = (12 + 6x) Solving -4 + 10x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 10x + -6x = 12 + 6x + -6x Combine like terms: 10x + -6x = 4x -4 + 4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 4x = 12 + 0 -4 + 4x = 12 Add '4' to each side of the equation. -4 + 4 + 4x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 12 + 4 4x = 12 + 4 Combine like terms: 12 + 4 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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