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Simplifying 6(2x + -3) = 2 + -18 + 10x Reorder the terms: 6(-3 + 2x) = 2 + -18 + 10x (-3 * 6 + 2x * 6) = 2 + -18 + 10x (-18 + 12x) = 2 + -18 + 10x Combine like terms: 2 + -18 = -16 -18 + 12x = -16 + 10x Solving -18 + 12x = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -18 + 12x + -10x = -16 + 10x + -10x Combine like terms: 12x + -10x = 2x -18 + 2x = -16 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + 2x = -16 + 0 -18 + 2x = -16 Add '18' to each side of the equation. -18 + 18 + 2x = -16 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -16 + 18 2x = -16 + 18 Combine like terms: -16 + 18 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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