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