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Simplifying 5x + 2 = 7(2x + -1) Reorder the terms: 2 + 5x = 7(2x + -1) Reorder the terms: 2 + 5x = 7(-1 + 2x) 2 + 5x = (-1 * 7 + 2x * 7) 2 + 5x = (-7 + 14x) Solving 2 + 5x = -7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 2 + 5x + -14x = -7 + 14x + -14x Combine like terms: 5x + -14x = -9x 2 + -9x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 2 + -9x = -7 + 0 2 + -9x = -7 Add '-2' to each side of the equation. 2 + -2 + -9x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = -7 + -2 -9x = -7 + -2 Combine like terms: -7 + -2 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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