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Simplifying 4(x + 3) + -6x = 2(x + 6) Reorder the terms: 4(3 + x) + -6x = 2(x + 6) (3 * 4 + x * 4) + -6x = 2(x + 6) (12 + 4x) + -6x = 2(x + 6) Combine like terms: 4x + -6x = -2x 12 + -2x = 2(x + 6) Reorder the terms: 12 + -2x = 2(6 + x) 12 + -2x = (6 * 2 + x * 2) 12 + -2x = (12 + 2x) Add '-12' to each side of the equation. 12 + -12 + -2x = 12 + -12 + 2x Combine like terms: 12 + -12 = 0 0 + -2x = 12 + -12 + 2x -2x = 12 + -12 + 2x Combine like terms: 12 + -12 = 0 -2x = 0 + 2x -2x = 2x Solving -2x = 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. -2x + -2x = 2x + -2x Combine like terms: -2x + -2x = -4x -4x = 2x + -2x Combine like terms: 2x + -2x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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