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Simplifying 5x + -2 = 7(2x + -8) Reorder the terms: -2 + 5x = 7(2x + -8) Reorder the terms: -2 + 5x = 7(-8 + 2x) -2 + 5x = (-8 * 7 + 2x * 7) -2 + 5x = (-56 + 14x) Solving -2 + 5x = -56 + 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 = -56 + 14x + -14x Combine like terms: 5x + -14x = -9x -2 + -9x = -56 + 14x + -14x Combine like terms: 14x + -14x = 0 -2 + -9x = -56 + 0 -2 + -9x = -56 Add '2' to each side of the equation. -2 + 2 + -9x = -56 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -56 + 2 -9x = -56 + 2 Combine like terms: -56 + 2 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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