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Simplifying 3x + 10 = -3x + 58 Reorder the terms: 10 + 3x = -3x + 58 Reorder the terms: 10 + 3x = 58 + -3x Solving 10 + 3x = 58 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + 3x + 3x = 58 + -3x + 3x Combine like terms: 3x + 3x = 6x 10 + 6x = 58 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 6x = 58 + 0 10 + 6x = 58 Add '-10' to each side of the equation. 10 + -10 + 6x = 58 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 58 + -10 6x = 58 + -10 Combine like terms: 58 + -10 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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