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Simplifying 8(2x + 1) = 30 + -2(6x + 4) Reorder the terms: 8(1 + 2x) = 30 + -2(6x + 4) (1 * 8 + 2x * 8) = 30 + -2(6x + 4) (8 + 16x) = 30 + -2(6x + 4) Reorder the terms: 8 + 16x = 30 + -2(4 + 6x) 8 + 16x = 30 + (4 * -2 + 6x * -2) 8 + 16x = 30 + (-8 + -12x) Combine like terms: 30 + -8 = 22 8 + 16x = 22 + -12x Solving 8 + 16x = 22 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + 16x + 12x = 22 + -12x + 12x Combine like terms: 16x + 12x = 28x 8 + 28x = 22 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 28x = 22 + 0 8 + 28x = 22 Add '-8' to each side of the equation. 8 + -8 + 28x = 22 + -8 Combine like terms: 8 + -8 = 0 0 + 28x = 22 + -8 28x = 22 + -8 Combine like terms: 22 + -8 = 14 28x = 14 Divide each side by '28'. x = 0.5 Simplifying x = 0.5
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