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Simplifying 4(3x + 1) = 40 + 3x Reorder the terms: 4(1 + 3x) = 40 + 3x (1 * 4 + 3x * 4) = 40 + 3x (4 + 12x) = 40 + 3x Solving 4 + 12x = 40 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 12x + -3x = 40 + 3x + -3x Combine like terms: 12x + -3x = 9x 4 + 9x = 40 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 9x = 40 + 0 4 + 9x = 40 Add '-4' to each side of the equation. 4 + -4 + 9x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 40 + -4 9x = 40 + -4 Combine like terms: 40 + -4 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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