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Simplifying 6(x + 1) = x + 3(x + -2) Reorder the terms: 6(1 + x) = x + 3(x + -2) (1 * 6 + x * 6) = x + 3(x + -2) (6 + 6x) = x + 3(x + -2) Reorder the terms: 6 + 6x = x + 3(-2 + x) 6 + 6x = x + (-2 * 3 + x * 3) 6 + 6x = x + (-6 + 3x) Reorder the terms: 6 + 6x = -6 + x + 3x Combine like terms: x + 3x = 4x 6 + 6x = -6 + 4x Solving 6 + 6x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 6x + -4x = -6 + 4x + -4x Combine like terms: 6x + -4x = 2x 6 + 2x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 2x = -6 + 0 6 + 2x = -6 Add '-6' to each side of the equation. 6 + -6 + 2x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -6 + -6 2x = -6 + -6 Combine like terms: -6 + -6 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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