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Simplifying 5 + 2(2x + -4) = 3(2x + -1) Reorder the terms: 5 + 2(-4 + 2x) = 3(2x + -1) 5 + (-4 * 2 + 2x * 2) = 3(2x + -1) 5 + (-8 + 4x) = 3(2x + -1) Combine like terms: 5 + -8 = -3 -3 + 4x = 3(2x + -1) Reorder the terms: -3 + 4x = 3(-1 + 2x) -3 + 4x = (-1 * 3 + 2x * 3) -3 + 4x = (-3 + 6x) Add '3' to each side of the equation. -3 + 3 + 4x = -3 + 3 + 6x Combine like terms: -3 + 3 = 0 0 + 4x = -3 + 3 + 6x 4x = -3 + 3 + 6x Combine like terms: -3 + 3 = 0 4x = 0 + 6x 4x = 6x Solving 4x = 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. 4x + -6x = 6x + -6x Combine like terms: 4x + -6x = -2x -2x = 6x + -6x Combine like terms: 6x + -6x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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