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