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Simplifying 5(x + 2) = 3X + -1(x + -4) Reorder the terms: 5(2 + x) = 3X + -1(x + -4) (2 * 5 + x * 5) = 3X + -1(x + -4) (10 + 5x) = 3X + -1(x + -4) Reorder the terms: 10 + 5x = 3X + -1(-4 + x) 10 + 5x = 3X + (-4 * -1 + x * -1) 10 + 5x = 3X + (4 + -1x) Reorder the terms: 10 + 5x = 4 + 3X + -1x Solving 10 + 5x = 4 + 3X + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 5x + x = 4 + 3X + -1x + x Combine like terms: 5x + x = 6x 10 + 6x = 4 + 3X + -1x + x Combine like terms: -1x + x = 0 10 + 6x = 4 + 3X + 0 10 + 6x = 4 + 3X Add '-10' to each side of the equation. 10 + -10 + 6x = 4 + -10 + 3X Combine like terms: 10 + -10 = 0 0 + 6x = 4 + -10 + 3X 6x = 4 + -10 + 3X Combine like terms: 4 + -10 = -6 6x = -6 + 3X Divide each side by '6'. x = -1 + 0.5X Simplifying x = -1 + 0.5X
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