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Simplifying 3(x + 4) + -2(x + 6) = 6(x + -5) Reorder the terms: 3(4 + x) + -2(x + 6) = 6(x + -5) (4 * 3 + x * 3) + -2(x + 6) = 6(x + -5) (12 + 3x) + -2(x + 6) = 6(x + -5) Reorder the terms: 12 + 3x + -2(6 + x) = 6(x + -5) 12 + 3x + (6 * -2 + x * -2) = 6(x + -5) 12 + 3x + (-12 + -2x) = 6(x + -5) Reorder the terms: 12 + -12 + 3x + -2x = 6(x + -5) Combine like terms: 12 + -12 = 0 0 + 3x + -2x = 6(x + -5) 3x + -2x = 6(x + -5) Combine like terms: 3x + -2x = 1x 1x = 6(x + -5) Reorder the terms: 1x = 6(-5 + x) 1x = (-5 * 6 + x * 6) 1x = (-30 + 6x) Solving 1x = -30 + 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. 1x + -6x = -30 + 6x + -6x Combine like terms: 1x + -6x = -5x -5x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -5x = -30 + 0 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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