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Simplifying 2x(x + -1) + -3 = (3x + 4) + x(2x + 3) Reorder the terms: 2x(-1 + x) + -3 = (3x + 4) + x(2x + 3) (-1 * 2x + x * 2x) + -3 = (3x + 4) + x(2x + 3) (-2x + 2x2) + -3 = (3x + 4) + x(2x + 3) Reorder the terms: -3 + -2x + 2x2 = (3x + 4) + x(2x + 3) Reorder the terms: -3 + -2x + 2x2 = (4 + 3x) + x(2x + 3) Remove parenthesis around (4 + 3x) -3 + -2x + 2x2 = 4 + 3x + x(2x + 3) Reorder the terms: -3 + -2x + 2x2 = 4 + 3x + x(3 + 2x) -3 + -2x + 2x2 = 4 + 3x + (3 * x + 2x * x) -3 + -2x + 2x2 = 4 + 3x + (3x + 2x2) Combine like terms: 3x + 3x = 6x -3 + -2x + 2x2 = 4 + 6x + 2x2 Add '-2x2' to each side of the equation. -3 + -2x + 2x2 + -2x2 = 4 + 6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3 + -2x + 0 = 4 + 6x + 2x2 + -2x2 -3 + -2x = 4 + 6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3 + -2x = 4 + 6x + 0 -3 + -2x = 4 + 6x Solving -3 + -2x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + -2x + -6x = 4 + 6x + -6x Combine like terms: -2x + -6x = -8x -3 + -8x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -8x = 4 + 0 -3 + -8x = 4 Add '3' to each side of the equation. -3 + 3 + -8x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 4 + 3 -8x = 4 + 3 Combine like terms: 4 + 3 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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