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Simplifying 4(1 + 4x) = 7x + 40 (1 * 4 + 4x * 4) = 7x + 40 (4 + 16x) = 7x + 40 Reorder the terms: 4 + 16x = 40 + 7x Solving 4 + 16x = 40 + 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. 4 + 16x + -7x = 40 + 7x + -7x Combine like terms: 16x + -7x = 9x 4 + 9x = 40 + 7x + -7x Combine like terms: 7x + -7x = 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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