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Simplifying 8 + -2(x + -5) = x + -7x Reorder the terms: 8 + -2(-5 + x) = x + -7x 8 + (-5 * -2 + x * -2) = x + -7x 8 + (10 + -2x) = x + -7x Combine like terms: 8 + 10 = 18 18 + -2x = x + -7x Combine like terms: x + -7x = -6x 18 + -2x = -6x Solving 18 + -2x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 18 + -2x + 6x = -6x + 6x Combine like terms: -2x + 6x = 4x 18 + 4x = -6x + 6x Combine like terms: -6x + 6x = 0 18 + 4x = 0 Add '-18' to each side of the equation. 18 + -18 + 4x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 0 + -18 4x = 0 + -18 Combine like terms: 0 + -18 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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