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Simplifying 2(x + 4) + -7 = 8x + 2 Reorder the terms: 2(4 + x) + -7 = 8x + 2 (4 * 2 + x * 2) + -7 = 8x + 2 (8 + 2x) + -7 = 8x + 2 Reorder the terms: 8 + -7 + 2x = 8x + 2 Combine like terms: 8 + -7 = 1 1 + 2x = 8x + 2 Reorder the terms: 1 + 2x = 2 + 8x Solving 1 + 2x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + 2x + -8x = 2 + 8x + -8x Combine like terms: 2x + -8x = -6x 1 + -6x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -6x = 2 + 0 1 + -6x = 2 Add '-1' to each side of the equation. 1 + -1 + -6x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 2 + -1 -6x = 2 + -1 Combine like terms: 2 + -1 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667
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