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