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Simplifying 6x + 4(3x + -2) = 12 + -12x + 10 Reorder the terms: 6x + 4(-2 + 3x) = 12 + -12x + 10 6x + (-2 * 4 + 3x * 4) = 12 + -12x + 10 6x + (-8 + 12x) = 12 + -12x + 10 Reorder the terms: -8 + 6x + 12x = 12 + -12x + 10 Combine like terms: 6x + 12x = 18x -8 + 18x = 12 + -12x + 10 Reorder the terms: -8 + 18x = 12 + 10 + -12x Combine like terms: 12 + 10 = 22 -8 + 18x = 22 + -12x Solving -8 + 18x = 22 + -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. -8 + 18x + 12x = 22 + -12x + 12x Combine like terms: 18x + 12x = 30x -8 + 30x = 22 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + 30x = 22 + 0 -8 + 30x = 22 Add '8' to each side of the equation. -8 + 8 + 30x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 30x = 22 + 8 30x = 22 + 8 Combine like terms: 22 + 8 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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