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Simplifying -5x + 10 = 8x + 40 Reorder the terms: 10 + -5x = 8x + 40 Reorder the terms: 10 + -5x = 40 + 8x Solving 10 + -5x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + -5x + -8x = 40 + 8x + -8x Combine like terms: -5x + -8x = -13x 10 + -13x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -13x = 40 + 0 10 + -13x = 40 Add '-10' to each side of the equation. 10 + -10 + -13x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -13x = 40 + -10 -13x = 40 + -10 Combine like terms: 40 + -10 = 30 -13x = 30 Divide each side by '-13'. x = -2.307692308 Simplifying x = -2.307692308
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