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Simplifying 3x(-1x + -3) + -2 = x(-3x + -4) + 13 Reorder the terms: 3x(-3 + -1x) + -2 = x(-3x + -4) + 13 (-3 * 3x + -1x * 3x) + -2 = x(-3x + -4) + 13 (-9x + -3x2) + -2 = x(-3x + -4) + 13 Reorder the terms: -2 + -9x + -3x2 = x(-3x + -4) + 13 Reorder the terms: -2 + -9x + -3x2 = x(-4 + -3x) + 13 -2 + -9x + -3x2 = (-4 * x + -3x * x) + 13 -2 + -9x + -3x2 = (-4x + -3x2) + 13 Reorder the terms: -2 + -9x + -3x2 = 13 + -4x + -3x2 Add '3x2' to each side of the equation. -2 + -9x + -3x2 + 3x2 = 13 + -4x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -2 + -9x + 0 = 13 + -4x + -3x2 + 3x2 -2 + -9x = 13 + -4x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -2 + -9x = 13 + -4x + 0 -2 + -9x = 13 + -4x Solving -2 + -9x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + -9x + 4x = 13 + -4x + 4x Combine like terms: -9x + 4x = -5x -2 + -5x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + -5x = 13 + 0 -2 + -5x = 13 Add '2' to each side of the equation. -2 + 2 + -5x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 13 + 2 -5x = 13 + 2 Combine like terms: 13 + 2 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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