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Simplifying 6(3x + -2) = 8x + 4(x + 3) Reorder the terms: 6(-2 + 3x) = 8x + 4(x + 3) (-2 * 6 + 3x * 6) = 8x + 4(x + 3) (-12 + 18x) = 8x + 4(x + 3) Reorder the terms: -12 + 18x = 8x + 4(3 + x) -12 + 18x = 8x + (3 * 4 + x * 4) -12 + 18x = 8x + (12 + 4x) Reorder the terms: -12 + 18x = 12 + 8x + 4x Combine like terms: 8x + 4x = 12x -12 + 18x = 12 + 12x Solving -12 + 18x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + 18x + -12x = 12 + 12x + -12x Combine like terms: 18x + -12x = 6x -12 + 6x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 6x = 12 + 0 -12 + 6x = 12 Add '12' to each side of the equation. -12 + 12 + 6x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 12 + 12 6x = 12 + 12 Combine like terms: 12 + 12 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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