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Simplifying 8x + -6(x + -2) = 4(x + 3) Reorder the terms: 8x + -6(-2 + x) = 4(x + 3) 8x + (-2 * -6 + x * -6) = 4(x + 3) 8x + (12 + -6x) = 4(x + 3) Reorder the terms: 12 + 8x + -6x = 4(x + 3) Combine like terms: 8x + -6x = 2x 12 + 2x = 4(x + 3) Reorder the terms: 12 + 2x = 4(3 + x) 12 + 2x = (3 * 4 + x * 4) 12 + 2x = (12 + 4x) Add '-12' to each side of the equation. 12 + -12 + 2x = 12 + -12 + 4x Combine like terms: 12 + -12 = 0 0 + 2x = 12 + -12 + 4x 2x = 12 + -12 + 4x Combine like terms: 12 + -12 = 0 2x = 0 + 4x 2x = 4x Solving 2x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2x + -4x = 4x + -4x Combine like terms: 2x + -4x = -2x -2x = 4x + -4x Combine like terms: 4x + -4x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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