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Simplifying 6(x + 8) = 2x + 9 Reorder the terms: 6(8 + x) = 2x + 9 (8 * 6 + x * 6) = 2x + 9 (48 + 6x) = 2x + 9 Reorder the terms: 48 + 6x = 9 + 2x Solving 48 + 6x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 48 + 6x + -2x = 9 + 2x + -2x Combine like terms: 6x + -2x = 4x 48 + 4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 48 + 4x = 9 + 0 48 + 4x = 9 Add '-48' to each side of the equation. 48 + -48 + 4x = 9 + -48 Combine like terms: 48 + -48 = 0 0 + 4x = 9 + -48 4x = 9 + -48 Combine like terms: 9 + -48 = -39 4x = -39 Divide each side by '4'. x = -9.75 Simplifying x = -9.75
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