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Simplifying 3(12x + -6 + -14x) = 15x + -30 Reorder the terms: 3(-6 + 12x + -14x) = 15x + -30 Combine like terms: 12x + -14x = -2x 3(-6 + -2x) = 15x + -30 (-6 * 3 + -2x * 3) = 15x + -30 (-18 + -6x) = 15x + -30 Reorder the terms: -18 + -6x = -30 + 15x Solving -18 + -6x = -30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -18 + -6x + -15x = -30 + 15x + -15x Combine like terms: -6x + -15x = -21x -18 + -21x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 -18 + -21x = -30 + 0 -18 + -21x = -30 Add '18' to each side of the equation. -18 + 18 + -21x = -30 + 18 Combine like terms: -18 + 18 = 0 0 + -21x = -30 + 18 -21x = -30 + 18 Combine like terms: -30 + 18 = -12 -21x = -12 Divide each side by '-21'. x = 0.5714285714 Simplifying x = 0.5714285714
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