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Simplifying 30 = 6(x + -3) + -2(-6x + 3) Reorder the terms: 30 = 6(-3 + x) + -2(-6x + 3) 30 = (-3 * 6 + x * 6) + -2(-6x + 3) 30 = (-18 + 6x) + -2(-6x + 3) Reorder the terms: 30 = -18 + 6x + -2(3 + -6x) 30 = -18 + 6x + (3 * -2 + -6x * -2) 30 = -18 + 6x + (-6 + 12x) Reorder the terms: 30 = -18 + -6 + 6x + 12x Combine like terms: -18 + -6 = -24 30 = -24 + 6x + 12x Combine like terms: 6x + 12x = 18x 30 = -24 + 18x Solving 30 = -24 + 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. 30 + -18x = -24 + 18x + -18x Combine like terms: 18x + -18x = 0 30 + -18x = -24 + 0 30 + -18x = -24 Add '-30' to each side of the equation. 30 + -30 + -18x = -24 + -30 Combine like terms: 30 + -30 = 0 0 + -18x = -24 + -30 -18x = -24 + -30 Combine like terms: -24 + -30 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3
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