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Simplifying 4(4x + 3) + 7(x + -3) = 0 Reorder the terms: 4(3 + 4x) + 7(x + -3) = 0 (3 * 4 + 4x * 4) + 7(x + -3) = 0 (12 + 16x) + 7(x + -3) = 0 Reorder the terms: 12 + 16x + 7(-3 + x) = 0 12 + 16x + (-3 * 7 + x * 7) = 0 12 + 16x + (-21 + 7x) = 0 Reorder the terms: 12 + -21 + 16x + 7x = 0 Combine like terms: 12 + -21 = -9 -9 + 16x + 7x = 0 Combine like terms: 16x + 7x = 23x -9 + 23x = 0 Solving -9 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 23x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 23x = 0 + 9 23x = 0 + 9 Combine like terms: 0 + 9 = 9 23x = 9 Divide each side by '23'. x = 0.3913043478 Simplifying x = 0.3913043478
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