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Simplifying 5x + -34 = 2(x + -8) Reorder the terms: -34 + 5x = 2(x + -8) Reorder the terms: -34 + 5x = 2(-8 + x) -34 + 5x = (-8 * 2 + x * 2) -34 + 5x = (-16 + 2x) Solving -34 + 5x = -16 + 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. -34 + 5x + -2x = -16 + 2x + -2x Combine like terms: 5x + -2x = 3x -34 + 3x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -34 + 3x = -16 + 0 -34 + 3x = -16 Add '34' to each side of the equation. -34 + 34 + 3x = -16 + 34 Combine like terms: -34 + 34 = 0 0 + 3x = -16 + 34 3x = -16 + 34 Combine like terms: -16 + 34 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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