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Simplifying 8(x + 3) = 6x + 40 Reorder the terms: 8(3 + x) = 6x + 40 (3 * 8 + x * 8) = 6x + 40 (24 + 8x) = 6x + 40 Reorder the terms: 24 + 8x = 40 + 6x Solving 24 + 8x = 40 + 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. 24 + 8x + -6x = 40 + 6x + -6x Combine like terms: 8x + -6x = 2x 24 + 2x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 2x = 40 + 0 24 + 2x = 40 Add '-24' to each side of the equation. 24 + -24 + 2x = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 40 + -24 2x = 40 + -24 Combine like terms: 40 + -24 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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