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Simplifying 8x + 30 = 6(x + 3) Reorder the terms: 30 + 8x = 6(x + 3) Reorder the terms: 30 + 8x = 6(3 + x) 30 + 8x = (3 * 6 + x * 6) 30 + 8x = (18 + 6x) Solving 30 + 8x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 30 + 8x + -6x = 18 + 6x + -6x Combine like terms: 8x + -6x = 2x 30 + 2x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 2x = 18 + 0 30 + 2x = 18 Add '-30' to each side of the equation. 30 + -30 + 2x = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 18 + -30 2x = 18 + -30 Combine like terms: 18 + -30 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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