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Simplifying 4(2x + -3) + 5(x + 1) = 0 Reorder the terms: 4(-3 + 2x) + 5(x + 1) = 0 (-3 * 4 + 2x * 4) + 5(x + 1) = 0 (-12 + 8x) + 5(x + 1) = 0 Reorder the terms: -12 + 8x + 5(1 + x) = 0 -12 + 8x + (1 * 5 + x * 5) = 0 -12 + 8x + (5 + 5x) = 0 Reorder the terms: -12 + 5 + 8x + 5x = 0 Combine like terms: -12 + 5 = -7 -7 + 8x + 5x = 0 Combine like terms: 8x + 5x = 13x -7 + 13x = 0 Solving -7 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 13x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 0 + 7 13x = 0 + 7 Combine like terms: 0 + 7 = 7 13x = 7 Divide each side by '13'. x = 0.5384615385 Simplifying x = 0.5384615385
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