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Simplifying 4(x + -3) + 7(x + 1) = 0 Reorder the terms: 4(-3 + x) + 7(x + 1) = 0 (-3 * 4 + x * 4) + 7(x + 1) = 0 (-12 + 4x) + 7(x + 1) = 0 Reorder the terms: -12 + 4x + 7(1 + x) = 0 -12 + 4x + (1 * 7 + x * 7) = 0 -12 + 4x + (7 + 7x) = 0 Reorder the terms: -12 + 7 + 4x + 7x = 0 Combine like terms: -12 + 7 = -5 -5 + 4x + 7x = 0 Combine like terms: 4x + 7x = 11x -5 + 11x = 0 Solving -5 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 11x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = 0 + 5 11x = 0 + 5 Combine like terms: 0 + 5 = 5 11x = 5 Divide each side by '11'. x = 0.4545454545 Simplifying x = 0.4545454545
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