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Simplifying 3(x + 6) + -2(x + 4) = 4x + -2(x + -5) Reorder the terms: 3(6 + x) + -2(x + 4) = 4x + -2(x + -5) (6 * 3 + x * 3) + -2(x + 4) = 4x + -2(x + -5) (18 + 3x) + -2(x + 4) = 4x + -2(x + -5) Reorder the terms: 18 + 3x + -2(4 + x) = 4x + -2(x + -5) 18 + 3x + (4 * -2 + x * -2) = 4x + -2(x + -5) 18 + 3x + (-8 + -2x) = 4x + -2(x + -5) Reorder the terms: 18 + -8 + 3x + -2x = 4x + -2(x + -5) Combine like terms: 18 + -8 = 10 10 + 3x + -2x = 4x + -2(x + -5) Combine like terms: 3x + -2x = 1x 10 + 1x = 4x + -2(x + -5) Reorder the terms: 10 + 1x = 4x + -2(-5 + x) 10 + 1x = 4x + (-5 * -2 + x * -2) 10 + 1x = 4x + (10 + -2x) Reorder the terms: 10 + 1x = 10 + 4x + -2x Combine like terms: 4x + -2x = 2x 10 + 1x = 10 + 2x Add '-10' to each side of the equation. 10 + -10 + 1x = 10 + -10 + 2x Combine like terms: 10 + -10 = 0 0 + 1x = 10 + -10 + 2x 1x = 10 + -10 + 2x Combine like terms: 10 + -10 = 0 1x = 0 + 2x 1x = 2x Solving 1x = 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. 1x + -2x = 2x + -2x Combine like terms: 1x + -2x = -1x -1x = 2x + -2x Combine like terms: 2x + -2x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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