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Simplifying 8x + 2 = 7(x + -2) + 5 Reorder the terms: 2 + 8x = 7(x + -2) + 5 Reorder the terms: 2 + 8x = 7(-2 + x) + 5 2 + 8x = (-2 * 7 + x * 7) + 5 2 + 8x = (-14 + 7x) + 5 Reorder the terms: 2 + 8x = -14 + 5 + 7x Combine like terms: -14 + 5 = -9 2 + 8x = -9 + 7x Solving 2 + 8x = -9 + 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. 2 + 8x + -7x = -9 + 7x + -7x Combine like terms: 8x + -7x = 1x 2 + 1x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + 1x = -9 + 0 2 + 1x = -9 Add '-2' to each side of the equation. 2 + -2 + 1x = -9 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -9 + -2 1x = -9 + -2 Combine like terms: -9 + -2 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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