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Simplifying 2(-1x + 4) + -5(-2 + -1x) = 4 + 5(3 * 2 + -2 * 2) Reorder the terms: 2(4 + -1x) + -5(-2 + -1x) = 4 + 5(3 * 2 + -2 * 2) (4 * 2 + -1x * 2) + -5(-2 + -1x) = 4 + 5(3 * 2 + -2 * 2) (8 + -2x) + -5(-2 + -1x) = 4 + 5(3 * 2 + -2 * 2) 8 + -2x + (-2 * -5 + -1x * -5) = 4 + 5(3 * 2 + -2 * 2) 8 + -2x + (10 + 5x) = 4 + 5(3 * 2 + -2 * 2) Reorder the terms: 8 + 10 + -2x + 5x = 4 + 5(3 * 2 + -2 * 2) Combine like terms: 8 + 10 = 18 18 + -2x + 5x = 4 + 5(3 * 2 + -2 * 2) Combine like terms: -2x + 5x = 3x 18 + 3x = 4 + 5(3 * 2 + -2 * 2) Multiply 3 * 2 18 + 3x = 4 + 5(6 + -2 * 2) Multiply -2 * 2 18 + 3x = 4 + 5(6 + -4) Combine like terms: 6 + -4 = 2 18 + 3x = 4 + 5(2) Multiply 5 * 2 18 + 3x = 4 + 10 Combine like terms: 4 + 10 = 14 18 + 3x = 14 Solving 18 + 3x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 3x = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 14 + -18 3x = 14 + -18 Combine like terms: 14 + -18 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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