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Simplifying 5(3 + -1x) + -1(x + -4) = 2 + -1(x + 5) (3 * 5 + -1x * 5) + -1(x + -4) = 2 + -1(x + 5) (15 + -5x) + -1(x + -4) = 2 + -1(x + 5) Reorder the terms: 15 + -5x + -1(-4 + x) = 2 + -1(x + 5) 15 + -5x + (-4 * -1 + x * -1) = 2 + -1(x + 5) 15 + -5x + (4 + -1x) = 2 + -1(x + 5) Reorder the terms: 15 + 4 + -5x + -1x = 2 + -1(x + 5) Combine like terms: 15 + 4 = 19 19 + -5x + -1x = 2 + -1(x + 5) Combine like terms: -5x + -1x = -6x 19 + -6x = 2 + -1(x + 5) Reorder the terms: 19 + -6x = 2 + -1(5 + x) 19 + -6x = 2 + (5 * -1 + x * -1) 19 + -6x = 2 + (-5 + -1x) Combine like terms: 2 + -5 = -3 19 + -6x = -3 + -1x Solving 19 + -6x = -3 + -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. 19 + -6x + x = -3 + -1x + x Combine like terms: -6x + x = -5x 19 + -5x = -3 + -1x + x Combine like terms: -1x + x = 0 19 + -5x = -3 + 0 19 + -5x = -3 Add '-19' to each side of the equation. 19 + -19 + -5x = -3 + -19 Combine like terms: 19 + -19 = 0 0 + -5x = -3 + -19 -5x = -3 + -19 Combine like terms: -3 + -19 = -22 -5x = -22 Divide each side by '-5'. x = 4.4 Simplifying x = 4.4
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