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Simplifying 4 + 3(9 + -1x) = 7(3 + x) 4 + (9 * 3 + -1x * 3) = 7(3 + x) 4 + (27 + -3x) = 7(3 + x) Combine like terms: 4 + 27 = 31 31 + -3x = 7(3 + x) 31 + -3x = (3 * 7 + x * 7) 31 + -3x = (21 + 7x) Solving 31 + -3x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 31 + -3x + -7x = 21 + 7x + -7x Combine like terms: -3x + -7x = -10x 31 + -10x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 31 + -10x = 21 + 0 31 + -10x = 21 Add '-31' to each side of the equation. 31 + -31 + -10x = 21 + -31 Combine like terms: 31 + -31 = 0 0 + -10x = 21 + -31 -10x = 21 + -31 Combine like terms: 21 + -31 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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