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Simplifying 3(3x + 1) + -5(x + -1) = 6(x + 10) Reorder the terms: 3(1 + 3x) + -5(x + -1) = 6(x + 10) (1 * 3 + 3x * 3) + -5(x + -1) = 6(x + 10) (3 + 9x) + -5(x + -1) = 6(x + 10) Reorder the terms: 3 + 9x + -5(-1 + x) = 6(x + 10) 3 + 9x + (-1 * -5 + x * -5) = 6(x + 10) 3 + 9x + (5 + -5x) = 6(x + 10) Reorder the terms: 3 + 5 + 9x + -5x = 6(x + 10) Combine like terms: 3 + 5 = 8 8 + 9x + -5x = 6(x + 10) Combine like terms: 9x + -5x = 4x 8 + 4x = 6(x + 10) Reorder the terms: 8 + 4x = 6(10 + x) 8 + 4x = (10 * 6 + x * 6) 8 + 4x = (60 + 6x) Solving 8 + 4x = 60 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 4x + -6x = 60 + 6x + -6x Combine like terms: 4x + -6x = -2x 8 + -2x = 60 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -2x = 60 + 0 8 + -2x = 60 Add '-8' to each side of the equation. 8 + -8 + -2x = 60 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 60 + -8 -2x = 60 + -8 Combine like terms: 60 + -8 = 52 -2x = 52 Divide each side by '-2'. x = -26 Simplifying x = -26
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