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Simplifying 10 + -3x + 8 = 30 + 2x + 48 Reorder the terms: 10 + 8 + -3x = 30 + 2x + 48 Combine like terms: 10 + 8 = 18 18 + -3x = 30 + 2x + 48 Reorder the terms: 18 + -3x = 30 + 48 + 2x Combine like terms: 30 + 48 = 78 18 + -3x = 78 + 2x Solving 18 + -3x = 78 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + -3x + -2x = 78 + 2x + -2x Combine like terms: -3x + -2x = -5x 18 + -5x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -5x = 78 + 0 18 + -5x = 78 Add '-18' to each side of the equation. 18 + -18 + -5x = 78 + -18 Combine like terms: 18 + -18 = 0 0 + -5x = 78 + -18 -5x = 78 + -18 Combine like terms: 78 + -18 = 60 -5x = 60 Divide each side by '-5'. x = -12 Simplifying x = -12
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