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Simplifying 6 + -6(x + -2) = 3(3x + 1) Reorder the terms: 6 + -6(-2 + x) = 3(3x + 1) 6 + (-2 * -6 + x * -6) = 3(3x + 1) 6 + (12 + -6x) = 3(3x + 1) Combine like terms: 6 + 12 = 18 18 + -6x = 3(3x + 1) Reorder the terms: 18 + -6x = 3(1 + 3x) 18 + -6x = (1 * 3 + 3x * 3) 18 + -6x = (3 + 9x) Solving 18 + -6x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 18 + -6x + -9x = 3 + 9x + -9x Combine like terms: -6x + -9x = -15x 18 + -15x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -15x = 3 + 0 18 + -15x = 3 Add '-18' to each side of the equation. 18 + -18 + -15x = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -15x = 3 + -18 -15x = 3 + -18 Combine like terms: 3 + -18 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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