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Simplifying 6 + -2(x + 5) = 5(3 + -1x) Reorder the terms: 6 + -2(5 + x) = 5(3 + -1x) 6 + (5 * -2 + x * -2) = 5(3 + -1x) 6 + (-10 + -2x) = 5(3 + -1x) Combine like terms: 6 + -10 = -4 -4 + -2x = 5(3 + -1x) -4 + -2x = (3 * 5 + -1x * 5) -4 + -2x = (15 + -5x) Solving -4 + -2x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -4 + -2x + 5x = 15 + -5x + 5x Combine like terms: -2x + 5x = 3x -4 + 3x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 3x = 15 + 0 -4 + 3x = 15 Add '4' to each side of the equation. -4 + 4 + 3x = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 15 + 4 3x = 15 + 4 Combine like terms: 15 + 4 = 19 3x = 19 Divide each side by '3'. x = 6.333333333 Simplifying x = 6.333333333
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