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Simplifying 2x(x + -5) + -3 = 5x + x(2x + -3) Reorder the terms: 2x(-5 + x) + -3 = 5x + x(2x + -3) (-5 * 2x + x * 2x) + -3 = 5x + x(2x + -3) (-10x + 2x2) + -3 = 5x + x(2x + -3) Reorder the terms: -3 + -10x + 2x2 = 5x + x(2x + -3) Reorder the terms: -3 + -10x + 2x2 = 5x + x(-3 + 2x) -3 + -10x + 2x2 = 5x + (-3 * x + 2x * x) -3 + -10x + 2x2 = 5x + (-3x + 2x2) Combine like terms: 5x + -3x = 2x -3 + -10x + 2x2 = 2x + 2x2 Add '-2x2' to each side of the equation. -3 + -10x + 2x2 + -2x2 = 2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3 + -10x + 0 = 2x + 2x2 + -2x2 -3 + -10x = 2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3 + -10x = 2x + 0 -3 + -10x = 2x Solving -3 + -10x = 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. -3 + -10x + -2x = 2x + -2x Combine like terms: -10x + -2x = -12x -3 + -12x = 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -12x = 0 Add '3' to each side of the equation. -3 + 3 + -12x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -12x = 0 + 3 -12x = 0 + 3 Combine like terms: 0 + 3 = 3 -12x = 3 Divide each side by '-12'. x = -0.25 Simplifying x = -0.25
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