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Simplifying 6(2x + -3) + -6 = 4(x + 6) Reorder the terms: 6(-3 + 2x) + -6 = 4(x + 6) (-3 * 6 + 2x * 6) + -6 = 4(x + 6) (-18 + 12x) + -6 = 4(x + 6) Reorder the terms: -18 + -6 + 12x = 4(x + 6) Combine like terms: -18 + -6 = -24 -24 + 12x = 4(x + 6) Reorder the terms: -24 + 12x = 4(6 + x) -24 + 12x = (6 * 4 + x * 4) -24 + 12x = (24 + 4x) Solving -24 + 12x = 24 + 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. -24 + 12x + -4x = 24 + 4x + -4x Combine like terms: 12x + -4x = 8x -24 + 8x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 8x = 24 + 0 -24 + 8x = 24 Add '24' to each side of the equation. -24 + 24 + 8x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 24 + 24 8x = 24 + 24 Combine like terms: 24 + 24 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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