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Simplifying 4(x + 6) = 6(x + 2.7) Reorder the terms: 4(6 + x) = 6(x + 2.7) (6 * 4 + x * 4) = 6(x + 2.7) (24 + 4x) = 6(x + 2.7) Reorder the terms: 24 + 4x = 6(2.7 + x) 24 + 4x = (2.7 * 6 + x * 6) 24 + 4x = (16.2 + 6x) Solving 24 + 4x = 16.2 + 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 + 4x + -6x = 16.2 + 6x + -6x Combine like terms: 4x + -6x = -2x 24 + -2x = 16.2 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -2x = 16.2 + 0 24 + -2x = 16.2 Add '-24' to each side of the equation. 24 + -24 + -2x = 16.2 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 16.2 + -24 -2x = 16.2 + -24 Combine like terms: 16.2 + -24 = -7.8 -2x = -7.8 Divide each side by '-2'. x = 3.9 Simplifying x = 3.9
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