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Simplifying 4(3x + 6) = 2(x + -7) Reorder the terms: 4(6 + 3x) = 2(x + -7) (6 * 4 + 3x * 4) = 2(x + -7) (24 + 12x) = 2(x + -7) Reorder the terms: 24 + 12x = 2(-7 + x) 24 + 12x = (-7 * 2 + x * 2) 24 + 12x = (-14 + 2x) Solving 24 + 12x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 12x + -2x = -14 + 2x + -2x Combine like terms: 12x + -2x = 10x 24 + 10x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 10x = -14 + 0 24 + 10x = -14 Add '-24' to each side of the equation. 24 + -24 + 10x = -14 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = -14 + -24 10x = -14 + -24 Combine like terms: -14 + -24 = -38 10x = -38 Divide each side by '10'. x = -3.8 Simplifying x = -3.8
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