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Simplifying 5x + -2 = 3(2x + 4) Reorder the terms: -2 + 5x = 3(2x + 4) Reorder the terms: -2 + 5x = 3(4 + 2x) -2 + 5x = (4 * 3 + 2x * 3) -2 + 5x = (12 + 6x) Solving -2 + 5x = 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. -2 + 5x + -6x = 12 + 6x + -6x Combine like terms: 5x + -6x = -1x -2 + -1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -1x = 12 + 0 -2 + -1x = 12 Add '2' to each side of the equation. -2 + 2 + -1x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 12 + 2 -1x = 12 + 2 Combine like terms: 12 + 2 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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