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Simplifying 10 + -2(2x + 1) = -8 + 2x Reorder the terms: 10 + -2(1 + 2x) = -8 + 2x 10 + (1 * -2 + 2x * -2) = -8 + 2x 10 + (-2 + -4x) = -8 + 2x Combine like terms: 10 + -2 = 8 8 + -4x = -8 + 2x Solving 8 + -4x = -8 + 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. 8 + -4x + -2x = -8 + 2x + -2x Combine like terms: -4x + -2x = -6x 8 + -6x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -6x = -8 + 0 8 + -6x = -8 Add '-8' to each side of the equation. 8 + -8 + -6x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -8 + -8 -6x = -8 + -8 Combine like terms: -8 + -8 = -16 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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