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Simplifying 30 + 6x = 5(1 + 2x) + 17 30 + 6x = (1 * 5 + 2x * 5) + 17 30 + 6x = (5 + 10x) + 17 Reorder the terms: 30 + 6x = 5 + 17 + 10x Combine like terms: 5 + 17 = 22 30 + 6x = 22 + 10x Solving 30 + 6x = 22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 30 + 6x + -10x = 22 + 10x + -10x Combine like terms: 6x + -10x = -4x 30 + -4x = 22 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + -4x = 22 + 0 30 + -4x = 22 Add '-30' to each side of the equation. 30 + -30 + -4x = 22 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 22 + -30 -4x = 22 + -30 Combine like terms: 22 + -30 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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