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Simplifying 10 + 5x = -3x + 74 Reorder the terms: 10 + 5x = 74 + -3x Solving 10 + 5x = 74 + -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 + 5x + 3x = 74 + -3x + 3x Combine like terms: 5x + 3x = 8x 10 + 8x = 74 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 8x = 74 + 0 10 + 8x = 74 Add '-10' to each side of the equation. 10 + -10 + 8x = 74 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 74 + -10 8x = 74 + -10 Combine like terms: 74 + -10 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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