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Simplifying 6(x + 2) = 4(x + 1) + -6 Reorder the terms: 6(2 + x) = 4(x + 1) + -6 (2 * 6 + x * 6) = 4(x + 1) + -6 (12 + 6x) = 4(x + 1) + -6 Reorder the terms: 12 + 6x = 4(1 + x) + -6 12 + 6x = (1 * 4 + x * 4) + -6 12 + 6x = (4 + 4x) + -6 Reorder the terms: 12 + 6x = 4 + -6 + 4x Combine like terms: 4 + -6 = -2 12 + 6x = -2 + 4x Solving 12 + 6x = -2 + 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. 12 + 6x + -4x = -2 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = -2 + 0 12 + 2x = -2 Add '-12' to each side of the equation. 12 + -12 + 2x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -2 + -12 2x = -2 + -12 Combine like terms: -2 + -12 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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