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Simplifying 6(x + 1) = 3(x + -3) Reorder the terms: 6(1 + x) = 3(x + -3) (1 * 6 + x * 6) = 3(x + -3) (6 + 6x) = 3(x + -3) Reorder the terms: 6 + 6x = 3(-3 + x) 6 + 6x = (-3 * 3 + x * 3) 6 + 6x = (-9 + 3x) Solving 6 + 6x = -9 + 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. 6 + 6x + -3x = -9 + 3x + -3x Combine like terms: 6x + -3x = 3x 6 + 3x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 3x = -9 + 0 6 + 3x = -9 Add '-6' to each side of the equation. 6 + -6 + 3x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -9 + -6 3x = -9 + -6 Combine like terms: -9 + -6 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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