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Simplifying 30 + -8x = 6 + 8(5 + -3x) 30 + -8x = 6 + (5 * 8 + -3x * 8) 30 + -8x = 6 + (40 + -24x) Combine like terms: 6 + 40 = 46 30 + -8x = 46 + -24x Solving 30 + -8x = 46 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 30 + -8x + 24x = 46 + -24x + 24x Combine like terms: -8x + 24x = 16x 30 + 16x = 46 + -24x + 24x Combine like terms: -24x + 24x = 0 30 + 16x = 46 + 0 30 + 16x = 46 Add '-30' to each side of the equation. 30 + -30 + 16x = 46 + -30 Combine like terms: 30 + -30 = 0 0 + 16x = 46 + -30 16x = 46 + -30 Combine like terms: 46 + -30 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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