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Simplifying 5x + 30 = 2(1 + 5x) + -1x Reorder the terms: 30 + 5x = 2(1 + 5x) + -1x 30 + 5x = (1 * 2 + 5x * 2) + -1x 30 + 5x = (2 + 10x) + -1x Combine like terms: 10x + -1x = 9x 30 + 5x = 2 + 9x Solving 30 + 5x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 30 + 5x + -9x = 2 + 9x + -9x Combine like terms: 5x + -9x = -4x 30 + -4x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + -4x = 2 + 0 30 + -4x = 2 Add '-30' to each side of the equation. 30 + -30 + -4x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 2 + -30 -4x = 2 + -30 Combine like terms: 2 + -30 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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