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Simplifying 3x + -6(5x + 8) = 114 Reorder the terms: 3x + -6(8 + 5x) = 114 3x + (8 * -6 + 5x * -6) = 114 3x + (-48 + -30x) = 114 Reorder the terms: -48 + 3x + -30x = 114 Combine like terms: 3x + -30x = -27x -48 + -27x = 114 Solving -48 + -27x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -27x = 114 + 48 Combine like terms: -48 + 48 = 0 0 + -27x = 114 + 48 -27x = 114 + 48 Combine like terms: 114 + 48 = 162 -27x = 162 Divide each side by '-27'. x = -6 Simplifying x = -6
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