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Simplifying 3x + 3(5 + -7x) = 12 + -1x 3x + (5 * 3 + -7x * 3) = 12 + -1x 3x + (15 + -21x) = 12 + -1x Reorder the terms: 15 + 3x + -21x = 12 + -1x Combine like terms: 3x + -21x = -18x 15 + -18x = 12 + -1x Solving 15 + -18x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + -18x + x = 12 + -1x + x Combine like terms: -18x + x = -17x 15 + -17x = 12 + -1x + x Combine like terms: -1x + x = 0 15 + -17x = 12 + 0 15 + -17x = 12 Add '-15' to each side of the equation. 15 + -15 + -17x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -17x = 12 + -15 -17x = 12 + -15 Combine like terms: 12 + -15 = -3 -17x = -3 Divide each side by '-17'. x = 0.1764705882 Simplifying x = 0.1764705882
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