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Simplifying x(x + 4) + -15 = x(x + 1) Reorder the terms: x(4 + x) + -15 = x(x + 1) (4 * x + x * x) + -15 = x(x + 1) (4x + x2) + -15 = x(x + 1) Reorder the terms: -15 + 4x + x2 = x(x + 1) Reorder the terms: -15 + 4x + x2 = x(1 + x) -15 + 4x + x2 = (1 * x + x * x) -15 + 4x + x2 = (1x + x2) Add '-1x2' to each side of the equation. -15 + 4x + x2 + -1x2 = 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + 4x + 0 = 1x + x2 + -1x2 -15 + 4x = 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + 4x = 1x + 0 -15 + 4x = 1x Solving -15 + 4x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + 4x + -1x = 1x + -1x Combine like terms: 4x + -1x = 3x -15 + 3x = 1x + -1x Combine like terms: 1x + -1x = 0 -15 + 3x = 0 Add '15' to each side of the equation. -15 + 15 + 3x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 0 + 15 3x = 0 + 15 Combine like terms: 0 + 15 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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