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Simplifying 2(x + 4) + 3(-1x) = 2(-1x) Reorder the terms: 2(4 + x) + 3(-1x) = 2(-1x) (4 * 2 + x * 2) + 3(-1x) = 2(-1x) (8 + 2x) + 3(-1x) = 2(-1x) Remove parenthesis around (-1x) 8 + 2x + 3 * -1x = 2(-1x) Multiply 3 * -1 8 + 2x + -3x = 2(-1x) Combine like terms: 2x + -3x = -1x 8 + -1x = 2(-1x) Remove parenthesis around (-1x) 8 + -1x = 2 * -1x Multiply 2 * -1 8 + -1x = -2x Solving 8 + -1x = -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 + -1x + 2x = -2x + 2x Combine like terms: -1x + 2x = 1x 8 + 1x = -2x + 2x Combine like terms: -2x + 2x = 0 8 + 1x = 0 Add '-8' to each side of the equation. 8 + -8 + 1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 0 + -8 1x = 0 + -8 Combine like terms: 0 + -8 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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