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Simplifying 10 + -2(x + 1) = -4(x + 6) + -2x Reorder the terms: 10 + -2(1 + x) = -4(x + 6) + -2x 10 + (1 * -2 + x * -2) = -4(x + 6) + -2x 10 + (-2 + -2x) = -4(x + 6) + -2x Combine like terms: 10 + -2 = 8 8 + -2x = -4(x + 6) + -2x Reorder the terms: 8 + -2x = -4(6 + x) + -2x 8 + -2x = (6 * -4 + x * -4) + -2x 8 + -2x = (-24 + -4x) + -2x Combine like terms: -4x + -2x = -6x 8 + -2x = -24 + -6x Solving 8 + -2x = -24 + -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. 8 + -2x + 6x = -24 + -6x + 6x Combine like terms: -2x + 6x = 4x 8 + 4x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 4x = -24 + 0 8 + 4x = -24 Add '-8' to each side of the equation. 8 + -8 + 4x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -24 + -8 4x = -24 + -8 Combine like terms: -24 + -8 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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