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Simplifying 6 + 2(x + -1) = 1 + -3(x + -6) Reorder the terms: 6 + 2(-1 + x) = 1 + -3(x + -6) 6 + (-1 * 2 + x * 2) = 1 + -3(x + -6) 6 + (-2 + 2x) = 1 + -3(x + -6) Combine like terms: 6 + -2 = 4 4 + 2x = 1 + -3(x + -6) Reorder the terms: 4 + 2x = 1 + -3(-6 + x) 4 + 2x = 1 + (-6 * -3 + x * -3) 4 + 2x = 1 + (18 + -3x) Combine like terms: 1 + 18 = 19 4 + 2x = 19 + -3x Solving 4 + 2x = 19 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 2x + 3x = 19 + -3x + 3x Combine like terms: 2x + 3x = 5x 4 + 5x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 5x = 19 + 0 4 + 5x = 19 Add '-4' to each side of the equation. 4 + -4 + 5x = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 19 + -4 5x = 19 + -4 Combine like terms: 19 + -4 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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