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Simplifying 6x + 30 = 6(5 + 8x) + -2x Reorder the terms: 30 + 6x = 6(5 + 8x) + -2x 30 + 6x = (5 * 6 + 8x * 6) + -2x 30 + 6x = (30 + 48x) + -2x Combine like terms: 48x + -2x = 46x 30 + 6x = 30 + 46x Add '-30' to each side of the equation. 30 + -30 + 6x = 30 + -30 + 46x Combine like terms: 30 + -30 = 0 0 + 6x = 30 + -30 + 46x 6x = 30 + -30 + 46x Combine like terms: 30 + -30 = 0 6x = 0 + 46x 6x = 46x Solving 6x = 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. 6x + -46x = 46x + -46x Combine like terms: 6x + -46x = -40x -40x = 46x + -46x Combine like terms: 46x + -46x = 0 -40x = 0 Divide each side by '-40'. x = 0.0 Simplifying x = 0.0
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