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Simplifying 4(4x + -3) + 7(x + -5) = 0 Reorder the terms: 4(-3 + 4x) + 7(x + -5) = 0 (-3 * 4 + 4x * 4) + 7(x + -5) = 0 (-12 + 16x) + 7(x + -5) = 0 Reorder the terms: -12 + 16x + 7(-5 + x) = 0 -12 + 16x + (-5 * 7 + x * 7) = 0 -12 + 16x + (-35 + 7x) = 0 Reorder the terms: -12 + -35 + 16x + 7x = 0 Combine like terms: -12 + -35 = -47 -47 + 16x + 7x = 0 Combine like terms: 16x + 7x = 23x -47 + 23x = 0 Solving -47 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 23x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 23x = 0 + 47 23x = 0 + 47 Combine like terms: 0 + 47 = 47 23x = 47 Divide each side by '23'. x = 2.043478261 Simplifying x = 2.043478261
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