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Simplifying 8x + -2(x + 7) = 2x + 13 Reorder the terms: 8x + -2(7 + x) = 2x + 13 8x + (7 * -2 + x * -2) = 2x + 13 8x + (-14 + -2x) = 2x + 13 Reorder the terms: -14 + 8x + -2x = 2x + 13 Combine like terms: 8x + -2x = 6x -14 + 6x = 2x + 13 Reorder the terms: -14 + 6x = 13 + 2x Solving -14 + 6x = 13 + 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 + 6x + -2x = 13 + 2x + -2x Combine like terms: 6x + -2x = 4x -14 + 4x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 4x = 13 + 0 -14 + 4x = 13 Add '14' to each side of the equation. -14 + 14 + 4x = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 13 + 14 4x = 13 + 14 Combine like terms: 13 + 14 = 27 4x = 27 Divide each side by '4'. x = 6.75 Simplifying x = 6.75
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