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Simplifying 3x + -5x + -13 = 2x + 7 + -13 Reorder the terms: -13 + 3x + -5x = 2x + 7 + -13 Combine like terms: 3x + -5x = -2x -13 + -2x = 2x + 7 + -13 Reorder the terms: -13 + -2x = 7 + -13 + 2x Combine like terms: 7 + -13 = -6 -13 + -2x = -6 + 2x Solving -13 + -2x = -6 + 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 = -6 + 2x + -2x Combine like terms: -2x + -2x = -4x -13 + -4x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + -4x = -6 + 0 -13 + -4x = -6 Add '13' to each side of the equation. -13 + 13 + -4x = -6 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = -6 + 13 -4x = -6 + 13 Combine like terms: -6 + 13 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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