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Simplifying -13(x + 1) + 6(3x + -3) = 4(x + -3) + 14 Reorder the terms: -13(1 + x) + 6(3x + -3) = 4(x + -3) + 14 (1 * -13 + x * -13) + 6(3x + -3) = 4(x + -3) + 14 (-13 + -13x) + 6(3x + -3) = 4(x + -3) + 14 Reorder the terms: -13 + -13x + 6(-3 + 3x) = 4(x + -3) + 14 -13 + -13x + (-3 * 6 + 3x * 6) = 4(x + -3) + 14 -13 + -13x + (-18 + 18x) = 4(x + -3) + 14 Reorder the terms: -13 + -18 + -13x + 18x = 4(x + -3) + 14 Combine like terms: -13 + -18 = -31 -31 + -13x + 18x = 4(x + -3) + 14 Combine like terms: -13x + 18x = 5x -31 + 5x = 4(x + -3) + 14 Reorder the terms: -31 + 5x = 4(-3 + x) + 14 -31 + 5x = (-3 * 4 + x * 4) + 14 -31 + 5x = (-12 + 4x) + 14 Reorder the terms: -31 + 5x = -12 + 14 + 4x Combine like terms: -12 + 14 = 2 -31 + 5x = 2 + 4x Solving -31 + 5x = 2 + 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. -31 + 5x + -4x = 2 + 4x + -4x Combine like terms: 5x + -4x = 1x -31 + 1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -31 + 1x = 2 + 0 -31 + 1x = 2 Add '31' to each side of the equation. -31 + 31 + 1x = 2 + 31 Combine like terms: -31 + 31 = 0 0 + 1x = 2 + 31 1x = 2 + 31 Combine like terms: 2 + 31 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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