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Simplifying 8(x + -2) + -2(2x + -1) = 2x + 1 Reorder the terms: 8(-2 + x) + -2(2x + -1) = 2x + 1 (-2 * 8 + x * 8) + -2(2x + -1) = 2x + 1 (-16 + 8x) + -2(2x + -1) = 2x + 1 Reorder the terms: -16 + 8x + -2(-1 + 2x) = 2x + 1 -16 + 8x + (-1 * -2 + 2x * -2) = 2x + 1 -16 + 8x + (2 + -4x) = 2x + 1 Reorder the terms: -16 + 2 + 8x + -4x = 2x + 1 Combine like terms: -16 + 2 = -14 -14 + 8x + -4x = 2x + 1 Combine like terms: 8x + -4x = 4x -14 + 4x = 2x + 1 Reorder the terms: -14 + 4x = 1 + 2x Solving -14 + 4x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + 4x + -2x = 1 + 2x + -2x Combine like terms: 4x + -2x = 2x -14 + 2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 2x = 1 + 0 -14 + 2x = 1 Add '14' to each side of the equation. -14 + 14 + 2x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 1 + 14 2x = 1 + 14 Combine like terms: 1 + 14 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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