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Simplifying 34 + 6x = 5(x + 4) + 3x Reorder the terms: 34 + 6x = 5(4 + x) + 3x 34 + 6x = (4 * 5 + x * 5) + 3x 34 + 6x = (20 + 5x) + 3x Combine like terms: 5x + 3x = 8x 34 + 6x = 20 + 8x Solving 34 + 6x = 20 + 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 + 6x + -8x = 20 + 8x + -8x Combine like terms: 6x + -8x = -2x 34 + -2x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 34 + -2x = 20 + 0 34 + -2x = 20 Add '-34' to each side of the equation. 34 + -34 + -2x = 20 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = 20 + -34 -2x = 20 + -34 Combine like terms: 20 + -34 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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