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Simplifying 3(x2 + -1x) + -4(x2 + x) = -3(x + 1) + -4(x + -2) Reorder the terms: 3(-1x + x2) + -4(x2 + x) = -3(x + 1) + -4(x + -2) (-1x * 3 + x2 * 3) + -4(x2 + x) = -3(x + 1) + -4(x + -2) (-3x + 3x2) + -4(x2 + x) = -3(x + 1) + -4(x + -2) Reorder the terms: -3x + 3x2 + -4(x + x2) = -3(x + 1) + -4(x + -2) -3x + 3x2 + (x * -4 + x2 * -4) = -3(x + 1) + -4(x + -2) -3x + 3x2 + (-4x + -4x2) = -3(x + 1) + -4(x + -2) Reorder the terms: -3x + -4x + 3x2 + -4x2 = -3(x + 1) + -4(x + -2) Combine like terms: -3x + -4x = -7x -7x + 3x2 + -4x2 = -3(x + 1) + -4(x + -2) Combine like terms: 3x2 + -4x2 = -1x2 -7x + -1x2 = -3(x + 1) + -4(x + -2) Reorder the terms: -7x + -1x2 = -3(1 + x) + -4(x + -2) -7x + -1x2 = (1 * -3 + x * -3) + -4(x + -2) -7x + -1x2 = (-3 + -3x) + -4(x + -2) Reorder the terms: -7x + -1x2 = -3 + -3x + -4(-2 + x) -7x + -1x2 = -3 + -3x + (-2 * -4 + x * -4) -7x + -1x2 = -3 + -3x + (8 + -4x) Reorder the terms: -7x + -1x2 = -3 + 8 + -3x + -4x Combine like terms: -3 + 8 = 5 -7x + -1x2 = 5 + -3x + -4x Combine like terms: -3x + -4x = -7x -7x + -1x2 = 5 + -7x Add '7x' to each side of the equation. -7x + 7x + -1x2 = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 0 + -1x2 = 5 + -7x + 7x -1x2 = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 -1x2 = 5 + 0 -1x2 = 5 Solving -1x2 = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x2 = -5 Simplifying x2 = -5 Reorder the terms: 5 + x2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + x2 = 0 The solution to this equation could not be determined.
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