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Simplifying 3x + 27 + -8 = 6(5x + 5) Reorder the terms: 27 + -8 + 3x = 6(5x + 5) Combine like terms: 27 + -8 = 19 19 + 3x = 6(5x + 5) Reorder the terms: 19 + 3x = 6(5 + 5x) 19 + 3x = (5 * 6 + 5x * 6) 19 + 3x = (30 + 30x) Solving 19 + 3x = 30 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 19 + 3x + -30x = 30 + 30x + -30x Combine like terms: 3x + -30x = -27x 19 + -27x = 30 + 30x + -30x Combine like terms: 30x + -30x = 0 19 + -27x = 30 + 0 19 + -27x = 30 Add '-19' to each side of the equation. 19 + -19 + -27x = 30 + -19 Combine like terms: 19 + -19 = 0 0 + -27x = 30 + -19 -27x = 30 + -19 Combine like terms: 30 + -19 = 11 -27x = 11 Divide each side by '-27'. x = -0.4074074074 Simplifying x = -0.4074074074
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