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Simplifying 3x(x + -1) + 2x + -7 = x(3x + -4) + 5x Reorder the terms: 3x(-1 + x) + 2x + -7 = x(3x + -4) + 5x (-1 * 3x + x * 3x) + 2x + -7 = x(3x + -4) + 5x (-3x + 3x2) + 2x + -7 = x(3x + -4) + 5x Reorder the terms: -7 + -3x + 2x + 3x2 = x(3x + -4) + 5x Combine like terms: -3x + 2x = -1x -7 + -1x + 3x2 = x(3x + -4) + 5x Reorder the terms: -7 + -1x + 3x2 = x(-4 + 3x) + 5x -7 + -1x + 3x2 = (-4 * x + 3x * x) + 5x -7 + -1x + 3x2 = (-4x + 3x2) + 5x Reorder the terms: -7 + -1x + 3x2 = -4x + 5x + 3x2 Combine like terms: -4x + 5x = 1x -7 + -1x + 3x2 = 1x + 3x2 Add '-3x2' to each side of the equation. -7 + -1x + 3x2 + -3x2 = 1x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7 + -1x + 0 = 1x + 3x2 + -3x2 -7 + -1x = 1x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7 + -1x = 1x + 0 -7 + -1x = 1x Solving -7 + -1x = 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. -7 + -1x + -1x = 1x + -1x Combine like terms: -1x + -1x = -2x -7 + -2x = 1x + -1x Combine like terms: 1x + -1x = 0 -7 + -2x = 0 Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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