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Simplifying (3x + -1)(3 + 1) + -1(x + 1)(-1) = 5(x + -2) Reorder the terms: (-1 + 3x)(3 + 1) + -1(x + 1)(-1) = 5(x + -2) Combine like terms: 3 + 1 = 4 (-1 + 3x)(4) + -1(x + 1)(-1) = 5(x + -2) Reorder the terms for easier multiplication: 4(-1 + 3x) + -1(x + 1)(-1) = 5(x + -2) (-1 * 4 + 3x * 4) + -1(x + 1)(-1) = 5(x + -2) (-4 + 12x) + -1(x + 1)(-1) = 5(x + -2) Reorder the terms: -4 + 12x + -1(1 + x)(-1) = 5(x + -2) Reorder the terms for easier multiplication: -4 + 12x + -1 * -1(1 + x) = 5(x + -2) Multiply -1 * -1 -4 + 12x + 1(1 + x) = 5(x + -2) -4 + 12x + (1 * 1 + x * 1) = 5(x + -2) -4 + 12x + (1 + 1x) = 5(x + -2) Reorder the terms: -4 + 1 + 12x + 1x = 5(x + -2) Combine like terms: -4 + 1 = -3 -3 + 12x + 1x = 5(x + -2) Combine like terms: 12x + 1x = 13x -3 + 13x = 5(x + -2) Reorder the terms: -3 + 13x = 5(-2 + x) -3 + 13x = (-2 * 5 + x * 5) -3 + 13x = (-10 + 5x) Solving -3 + 13x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 13x + -5x = -10 + 5x + -5x Combine like terms: 13x + -5x = 8x -3 + 8x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 8x = -10 + 0 -3 + 8x = -10 Add '3' to each side of the equation. -3 + 3 + 8x = -10 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = -10 + 3 8x = -10 + 3 Combine like terms: -10 + 3 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875
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