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Simplifying 4(4 + 4x) + -1(1 + -7x) = 54 (4 * 4 + 4x * 4) + -1(1 + -7x) = 54 (16 + 16x) + -1(1 + -7x) = 54 16 + 16x + (1 * -1 + -7x * -1) = 54 16 + 16x + (-1 + 7x) = 54 Reorder the terms: 16 + -1 + 16x + 7x = 54 Combine like terms: 16 + -1 = 15 15 + 16x + 7x = 54 Combine like terms: 16x + 7x = 23x 15 + 23x = 54 Solving 15 + 23x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 23x = 54 + -15 Combine like terms: 15 + -15 = 0 0 + 23x = 54 + -15 23x = 54 + -15 Combine like terms: 54 + -15 = 39 23x = 39 Divide each side by '23'. x = 1.695652174 Simplifying x = 1.695652174
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