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Simplifying 3(x + -5) + 6(3 + -1x) = 5x + -13 Reorder the terms: 3(-5 + x) + 6(3 + -1x) = 5x + -13 (-5 * 3 + x * 3) + 6(3 + -1x) = 5x + -13 (-15 + 3x) + 6(3 + -1x) = 5x + -13 -15 + 3x + (3 * 6 + -1x * 6) = 5x + -13 -15 + 3x + (18 + -6x) = 5x + -13 Reorder the terms: -15 + 18 + 3x + -6x = 5x + -13 Combine like terms: -15 + 18 = 3 3 + 3x + -6x = 5x + -13 Combine like terms: 3x + -6x = -3x 3 + -3x = 5x + -13 Reorder the terms: 3 + -3x = -13 + 5x Solving 3 + -3x = -13 + 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 + -3x + -5x = -13 + 5x + -5x Combine like terms: -3x + -5x = -8x 3 + -8x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -8x = -13 + 0 3 + -8x = -13 Add '-3' to each side of the equation. 3 + -3 + -8x = -13 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = -13 + -3 -8x = -13 + -3 Combine like terms: -13 + -3 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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