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Simplifying 5(2x + 1) + -2(x + -3) = 6(x + -1) Reorder the terms: 5(1 + 2x) + -2(x + -3) = 6(x + -1) (1 * 5 + 2x * 5) + -2(x + -3) = 6(x + -1) (5 + 10x) + -2(x + -3) = 6(x + -1) Reorder the terms: 5 + 10x + -2(-3 + x) = 6(x + -1) 5 + 10x + (-3 * -2 + x * -2) = 6(x + -1) 5 + 10x + (6 + -2x) = 6(x + -1) Reorder the terms: 5 + 6 + 10x + -2x = 6(x + -1) Combine like terms: 5 + 6 = 11 11 + 10x + -2x = 6(x + -1) Combine like terms: 10x + -2x = 8x 11 + 8x = 6(x + -1) Reorder the terms: 11 + 8x = 6(-1 + x) 11 + 8x = (-1 * 6 + x * 6) 11 + 8x = (-6 + 6x) Solving 11 + 8x = -6 + 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. 11 + 8x + -6x = -6 + 6x + -6x Combine like terms: 8x + -6x = 2x 11 + 2x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + 2x = -6 + 0 11 + 2x = -6 Add '-11' to each side of the equation. 11 + -11 + 2x = -6 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = -6 + -11 2x = -6 + -11 Combine like terms: -6 + -11 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5
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