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Simplifying 5x + 2 = 3(2x + -5) Reorder the terms: 2 + 5x = 3(2x + -5) Reorder the terms: 2 + 5x = 3(-5 + 2x) 2 + 5x = (-5 * 3 + 2x * 3) 2 + 5x = (-15 + 6x) Solving 2 + 5x = -15 + 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 = -15 + 6x + -6x Combine like terms: 5x + -6x = -1x 2 + -1x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -1x = -15 + 0 2 + -1x = -15 Add '-2' to each side of the equation. 2 + -2 + -1x = -15 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -15 + -2 -1x = -15 + -2 Combine like terms: -15 + -2 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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