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Simplifying 4(2x + 1) + -5(3 + x) = 0 Reorder the terms: 4(1 + 2x) + -5(3 + x) = 0 (1 * 4 + 2x * 4) + -5(3 + x) = 0 (4 + 8x) + -5(3 + x) = 0 4 + 8x + (3 * -5 + x * -5) = 0 4 + 8x + (-15 + -5x) = 0 Reorder the terms: 4 + -15 + 8x + -5x = 0 Combine like terms: 4 + -15 = -11 -11 + 8x + -5x = 0 Combine like terms: 8x + -5x = 3x -11 + 3x = 0 Solving -11 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 0 + 11 3x = 0 + 11 Combine like terms: 0 + 11 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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