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Simplifying 4(5x + -2) = 2(22 + -3x) Reorder the terms: 4(-2 + 5x) = 2(22 + -3x) (-2 * 4 + 5x * 4) = 2(22 + -3x) (-8 + 20x) = 2(22 + -3x) -8 + 20x = (22 * 2 + -3x * 2) -8 + 20x = (44 + -6x) Solving -8 + 20x = 44 + -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. -8 + 20x + 6x = 44 + -6x + 6x Combine like terms: 20x + 6x = 26x -8 + 26x = 44 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 26x = 44 + 0 -8 + 26x = 44 Add '8' to each side of the equation. -8 + 8 + 26x = 44 + 8 Combine like terms: -8 + 8 = 0 0 + 26x = 44 + 8 26x = 44 + 8 Combine like terms: 44 + 8 = 52 26x = 52 Divide each side by '26'. x = 2 Simplifying x = 2
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