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Simplifying x(x + -3) + -1x(x + 4) = 15x + -23 Reorder the terms: x(-3 + x) + -1x(x + 4) = 15x + -23 (-3 * x + x * x) + -1x(x + 4) = 15x + -23 (-3x + x2) + -1x(x + 4) = 15x + -23 Reorder the terms: -3x + x2 + -1x(4 + x) = 15x + -23 -3x + x2 + (4 * -1x + x * -1x) = 15x + -23 -3x + x2 + (-4x + -1x2) = 15x + -23 Reorder the terms: -3x + -4x + x2 + -1x2 = 15x + -23 Combine like terms: -3x + -4x = -7x -7x + x2 + -1x2 = 15x + -23 Combine like terms: x2 + -1x2 = 0 -7x + 0 = 15x + -23 -7x = 15x + -23 Reorder the terms: -7x = -23 + 15x Solving -7x = -23 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -7x + -15x = -23 + 15x + -15x Combine like terms: -7x + -15x = -22x -22x = -23 + 15x + -15x Combine like terms: 15x + -15x = 0 -22x = -23 + 0 -22x = -23 Divide each side by '-22'. x = 1.045454545 Simplifying x = 1.045454545
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