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Simplifying 3x + -8x + -13 = 5x + 7 + -13 Reorder the terms: -13 + 3x + -8x = 5x + 7 + -13 Combine like terms: 3x + -8x = -5x -13 + -5x = 5x + 7 + -13 Reorder the terms: -13 + -5x = 7 + -13 + 5x Combine like terms: 7 + -13 = -6 -13 + -5x = -6 + 5x Solving -13 + -5x = -6 + 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. -13 + -5x + -5x = -6 + 5x + -5x Combine like terms: -5x + -5x = -10x -13 + -10x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + -10x = -6 + 0 -13 + -10x = -6 Add '13' to each side of the equation. -13 + 13 + -10x = -6 + 13 Combine like terms: -13 + 13 = 0 0 + -10x = -6 + 13 -10x = -6 + 13 Combine like terms: -6 + 13 = 7 -10x = 7 Divide each side by '-10'. x = -0.7 Simplifying x = -0.7
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