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Simplifying -3(x + 5) + x(x + -1) = x(x + 2) + -3 Reorder the terms: -3(5 + x) + x(x + -1) = x(x + 2) + -3 (5 * -3 + x * -3) + x(x + -1) = x(x + 2) + -3 (-15 + -3x) + x(x + -1) = x(x + 2) + -3 Reorder the terms: -15 + -3x + x(-1 + x) = x(x + 2) + -3 -15 + -3x + (-1 * x + x * x) = x(x + 2) + -3 -15 + -3x + (-1x + x2) = x(x + 2) + -3 Combine like terms: -3x + -1x = -4x -15 + -4x + x2 = x(x + 2) + -3 Reorder the terms: -15 + -4x + x2 = x(2 + x) + -3 -15 + -4x + x2 = (2 * x + x * x) + -3 -15 + -4x + x2 = (2x + x2) + -3 Reorder the terms: -15 + -4x + x2 = -3 + 2x + x2 Add '-1x2' to each side of the equation. -15 + -4x + x2 + -1x2 = -3 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + -4x + 0 = -3 + 2x + x2 + -1x2 -15 + -4x = -3 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + -4x = -3 + 2x + 0 -15 + -4x = -3 + 2x Solving -15 + -4x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + -4x + -2x = -3 + 2x + -2x Combine like terms: -4x + -2x = -6x -15 + -6x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -6x = -3 + 0 -15 + -6x = -3 Add '15' to each side of the equation. -15 + 15 + -6x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = -3 + 15 -6x = -3 + 15 Combine like terms: -3 + 15 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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