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Simplifying 5x + -2x + 8 = 2(4x + 34) Reorder the terms: 8 + 5x + -2x = 2(4x + 34) Combine like terms: 5x + -2x = 3x 8 + 3x = 2(4x + 34) Reorder the terms: 8 + 3x = 2(34 + 4x) 8 + 3x = (34 * 2 + 4x * 2) 8 + 3x = (68 + 8x) Solving 8 + 3x = 68 + 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. 8 + 3x + -8x = 68 + 8x + -8x Combine like terms: 3x + -8x = -5x 8 + -5x = 68 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -5x = 68 + 0 8 + -5x = 68 Add '-8' to each side of the equation. 8 + -8 + -5x = 68 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 68 + -8 -5x = 68 + -8 Combine like terms: 68 + -8 = 60 -5x = 60 Divide each side by '-5'. x = -12 Simplifying x = -12
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