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Simplifying 5(2x + -4) + -3(x + -2) = 4x + -2 Reorder the terms: 5(-4 + 2x) + -3(x + -2) = 4x + -2 (-4 * 5 + 2x * 5) + -3(x + -2) = 4x + -2 (-20 + 10x) + -3(x + -2) = 4x + -2 Reorder the terms: -20 + 10x + -3(-2 + x) = 4x + -2 -20 + 10x + (-2 * -3 + x * -3) = 4x + -2 -20 + 10x + (6 + -3x) = 4x + -2 Reorder the terms: -20 + 6 + 10x + -3x = 4x + -2 Combine like terms: -20 + 6 = -14 -14 + 10x + -3x = 4x + -2 Combine like terms: 10x + -3x = 7x -14 + 7x = 4x + -2 Reorder the terms: -14 + 7x = -2 + 4x Solving -14 + 7x = -2 + 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. -14 + 7x + -4x = -2 + 4x + -4x Combine like terms: 7x + -4x = 3x -14 + 3x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 3x = -2 + 0 -14 + 3x = -2 Add '14' to each side of the equation. -14 + 14 + 3x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = -2 + 14 3x = -2 + 14 Combine like terms: -2 + 14 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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