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Simplifying 3(15 + -6x) = 21 + -6x (15 * 3 + -6x * 3) = 21 + -6x (45 + -18x) = 21 + -6x Solving 45 + -18x = 21 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 45 + -18x + 6x = 21 + -6x + 6x Combine like terms: -18x + 6x = -12x 45 + -12x = 21 + -6x + 6x Combine like terms: -6x + 6x = 0 45 + -12x = 21 + 0 45 + -12x = 21 Add '-45' to each side of the equation. 45 + -45 + -12x = 21 + -45 Combine like terms: 45 + -45 = 0 0 + -12x = 21 + -45 -12x = 21 + -45 Combine like terms: 21 + -45 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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