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Simplifying 4(4x + 1) + 7(x + -1) = 0 Reorder the terms: 4(1 + 4x) + 7(x + -1) = 0 (1 * 4 + 4x * 4) + 7(x + -1) = 0 (4 + 16x) + 7(x + -1) = 0 Reorder the terms: 4 + 16x + 7(-1 + x) = 0 4 + 16x + (-1 * 7 + x * 7) = 0 4 + 16x + (-7 + 7x) = 0 Reorder the terms: 4 + -7 + 16x + 7x = 0 Combine like terms: 4 + -7 = -3 -3 + 16x + 7x = 0 Combine like terms: 16x + 7x = 23x -3 + 23x = 0 Solving -3 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 23x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 23x = 0 + 3 23x = 0 + 3 Combine like terms: 0 + 3 = 3 23x = 3 Divide each side by '23'. x = 0.1304347826 Simplifying x = 0.1304347826
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