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Simplifying 5x + -8 + 2 = 2(x + -7) + 5x Reorder the terms: -8 + 2 + 5x = 2(x + -7) + 5x Combine like terms: -8 + 2 = -6 -6 + 5x = 2(x + -7) + 5x Reorder the terms: -6 + 5x = 2(-7 + x) + 5x -6 + 5x = (-7 * 2 + x * 2) + 5x -6 + 5x = (-14 + 2x) + 5x Combine like terms: 2x + 5x = 7x -6 + 5x = -14 + 7x Solving -6 + 5x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 5x + -7x = -14 + 7x + -7x Combine like terms: 5x + -7x = -2x -6 + -2x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -2x = -14 + 0 -6 + -2x = -14 Add '6' to each side of the equation. -6 + 6 + -2x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -14 + 6 -2x = -14 + 6 Combine like terms: -14 + 6 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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