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Simplifying 4(x + 1) = 6(x + -2) + -12 Reorder the terms: 4(1 + x) = 6(x + -2) + -12 (1 * 4 + x * 4) = 6(x + -2) + -12 (4 + 4x) = 6(x + -2) + -12 Reorder the terms: 4 + 4x = 6(-2 + x) + -12 4 + 4x = (-2 * 6 + x * 6) + -12 4 + 4x = (-12 + 6x) + -12 Reorder the terms: 4 + 4x = -12 + -12 + 6x Combine like terms: -12 + -12 = -24 4 + 4x = -24 + 6x Solving 4 + 4x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 4x + -6x = -24 + 6x + -6x Combine like terms: 4x + -6x = -2x 4 + -2x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -2x = -24 + 0 4 + -2x = -24 Add '-4' to each side of the equation. 4 + -4 + -2x = -24 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -24 + -4 -2x = -24 + -4 Combine like terms: -24 + -4 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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