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Simplifying -1x + -3x + 2x + 13 = 3x + 5 + -1x Reorder the terms: 13 + -1x + -3x + 2x = 3x + 5 + -1x Combine like terms: -1x + -3x = -4x 13 + -4x + 2x = 3x + 5 + -1x Combine like terms: -4x + 2x = -2x 13 + -2x = 3x + 5 + -1x Reorder the terms: 13 + -2x = 5 + 3x + -1x Combine like terms: 3x + -1x = 2x 13 + -2x = 5 + 2x Solving 13 + -2x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 13 + -2x + -2x = 5 + 2x + -2x Combine like terms: -2x + -2x = -4x 13 + -4x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -4x = 5 + 0 13 + -4x = 5 Add '-13' to each side of the equation. 13 + -13 + -4x = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 5 + -13 -4x = 5 + -13 Combine like terms: 5 + -13 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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