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Simplifying 2 + -6(3x + 11) = 7(5x + -12) + -65.5x Reorder the terms: 2 + -6(11 + 3x) = 7(5x + -12) + -65.5x 2 + (11 * -6 + 3x * -6) = 7(5x + -12) + -65.5x 2 + (-66 + -18x) = 7(5x + -12) + -65.5x Combine like terms: 2 + -66 = -64 -64 + -18x = 7(5x + -12) + -65.5x Reorder the terms: -64 + -18x = 7(-12 + 5x) + -65.5x -64 + -18x = (-12 * 7 + 5x * 7) + -65.5x -64 + -18x = (-84 + 35x) + -65.5x Combine like terms: 35x + -65.5x = -30.5x -64 + -18x = -84 + -30.5x Solving -64 + -18x = -84 + -30.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30.5x' to each side of the equation. -64 + -18x + 30.5x = -84 + -30.5x + 30.5x Combine like terms: -18x + 30.5x = 12.5x -64 + 12.5x = -84 + -30.5x + 30.5x Combine like terms: -30.5x + 30.5x = 0.0 -64 + 12.5x = -84 + 0.0 -64 + 12.5x = -84 Add '64' to each side of the equation. -64 + 64 + 12.5x = -84 + 64 Combine like terms: -64 + 64 = 0 0 + 12.5x = -84 + 64 12.5x = -84 + 64 Combine like terms: -84 + 64 = -20 12.5x = -20 Divide each side by '12.5'. x = -1.6 Simplifying x = -1.6
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