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Simplifying 4x + 10 = 3(7x + 9) Reorder the terms: 10 + 4x = 3(7x + 9) Reorder the terms: 10 + 4x = 3(9 + 7x) 10 + 4x = (9 * 3 + 7x * 3) 10 + 4x = (27 + 21x) Solving 10 + 4x = 27 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 10 + 4x + -21x = 27 + 21x + -21x Combine like terms: 4x + -21x = -17x 10 + -17x = 27 + 21x + -21x Combine like terms: 21x + -21x = 0 10 + -17x = 27 + 0 10 + -17x = 27 Add '-10' to each side of the equation. 10 + -10 + -17x = 27 + -10 Combine like terms: 10 + -10 = 0 0 + -17x = 27 + -10 -17x = 27 + -10 Combine like terms: 27 + -10 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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