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Simplifying -3x + 10 = 5x + 58 Reorder the terms: 10 + -3x = 5x + 58 Reorder the terms: 10 + -3x = 58 + 5x Solving 10 + -3x = 58 + 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. 10 + -3x + -5x = 58 + 5x + -5x Combine like terms: -3x + -5x = -8x 10 + -8x = 58 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -8x = 58 + 0 10 + -8x = 58 Add '-10' to each side of the equation. 10 + -10 + -8x = 58 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 58 + -10 -8x = 58 + -10 Combine like terms: 58 + -10 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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