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Simplifying 3x + 12 + -6 = 4(5x + 7) Reorder the terms: 12 + -6 + 3x = 4(5x + 7) Combine like terms: 12 + -6 = 6 6 + 3x = 4(5x + 7) Reorder the terms: 6 + 3x = 4(7 + 5x) 6 + 3x = (7 * 4 + 5x * 4) 6 + 3x = (28 + 20x) Solving 6 + 3x = 28 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + 3x + -20x = 28 + 20x + -20x Combine like terms: 3x + -20x = -17x 6 + -17x = 28 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -17x = 28 + 0 6 + -17x = 28 Add '-6' to each side of the equation. 6 + -6 + -17x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + -17x = 28 + -6 -17x = 28 + -6 Combine like terms: 28 + -6 = 22 -17x = 22 Divide each side by '-17'. x = -1.294117647 Simplifying x = -1.294117647
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