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Simplifying 6x + 3(2 + -4x) = 10(3 + 3x) + -12x 6x + (2 * 3 + -4x * 3) = 10(3 + 3x) + -12x 6x + (6 + -12x) = 10(3 + 3x) + -12x Reorder the terms: 6 + 6x + -12x = 10(3 + 3x) + -12x Combine like terms: 6x + -12x = -6x 6 + -6x = 10(3 + 3x) + -12x 6 + -6x = (3 * 10 + 3x * 10) + -12x 6 + -6x = (30 + 30x) + -12x Combine like terms: 30x + -12x = 18x 6 + -6x = 30 + 18x Solving 6 + -6x = 30 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 6 + -6x + -18x = 30 + 18x + -18x Combine like terms: -6x + -18x = -24x 6 + -24x = 30 + 18x + -18x Combine like terms: 18x + -18x = 0 6 + -24x = 30 + 0 6 + -24x = 30 Add '-6' to each side of the equation. 6 + -6 + -24x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -24x = 30 + -6 -24x = 30 + -6 Combine like terms: 30 + -6 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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