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Simplifying 8(x + -2) + 2 = 2 + x + -23 Reorder the terms: 8(-2 + x) + 2 = 2 + x + -23 (-2 * 8 + x * 8) + 2 = 2 + x + -23 (-16 + 8x) + 2 = 2 + x + -23 Reorder the terms: -16 + 2 + 8x = 2 + x + -23 Combine like terms: -16 + 2 = -14 -14 + 8x = 2 + x + -23 Reorder the terms: -14 + 8x = 2 + -23 + x Combine like terms: 2 + -23 = -21 -14 + 8x = -21 + x Solving -14 + 8x = -21 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 8x + -1x = -21 + x + -1x Combine like terms: 8x + -1x = 7x -14 + 7x = -21 + x + -1x Combine like terms: x + -1x = 0 -14 + 7x = -21 + 0 -14 + 7x = -21 Add '14' to each side of the equation. -14 + 14 + 7x = -21 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = -21 + 14 7x = -21 + 14 Combine like terms: -21 + 14 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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