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Simplifying 10 + -3(x + 2) = 8 + x Reorder the terms: 10 + -3(2 + x) = 8 + x 10 + (2 * -3 + x * -3) = 8 + x 10 + (-6 + -3x) = 8 + x Combine like terms: 10 + -6 = 4 4 + -3x = 8 + x Solving 4 + -3x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + -3x + -1x = 8 + x + -1x Combine like terms: -3x + -1x = -4x 4 + -4x = 8 + x + -1x Combine like terms: x + -1x = 0 4 + -4x = 8 + 0 4 + -4x = 8 Add '-4' to each side of the equation. 4 + -4 + -4x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 8 + -4 -4x = 8 + -4 Combine like terms: 8 + -4 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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