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Simplifying 5x + 34 = 4(2x + 4) + 6 Reorder the terms: 34 + 5x = 4(2x + 4) + 6 Reorder the terms: 34 + 5x = 4(4 + 2x) + 6 34 + 5x = (4 * 4 + 2x * 4) + 6 34 + 5x = (16 + 8x) + 6 Reorder the terms: 34 + 5x = 16 + 6 + 8x Combine like terms: 16 + 6 = 22 34 + 5x = 22 + 8x Solving 34 + 5x = 22 + 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. 34 + 5x + -8x = 22 + 8x + -8x Combine like terms: 5x + -8x = -3x 34 + -3x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 34 + -3x = 22 + 0 34 + -3x = 22 Add '-34' to each side of the equation. 34 + -34 + -3x = 22 + -34 Combine like terms: 34 + -34 = 0 0 + -3x = 22 + -34 -3x = 22 + -34 Combine like terms: 22 + -34 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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