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Simplifying 3(x + 6) + -2(x + 5) = 6x + 11 Reorder the terms: 3(6 + x) + -2(x + 5) = 6x + 11 (6 * 3 + x * 3) + -2(x + 5) = 6x + 11 (18 + 3x) + -2(x + 5) = 6x + 11 Reorder the terms: 18 + 3x + -2(5 + x) = 6x + 11 18 + 3x + (5 * -2 + x * -2) = 6x + 11 18 + 3x + (-10 + -2x) = 6x + 11 Reorder the terms: 18 + -10 + 3x + -2x = 6x + 11 Combine like terms: 18 + -10 = 8 8 + 3x + -2x = 6x + 11 Combine like terms: 3x + -2x = 1x 8 + 1x = 6x + 11 Reorder the terms: 8 + 1x = 11 + 6x Solving 8 + 1x = 11 + 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. 8 + 1x + -6x = 11 + 6x + -6x Combine like terms: 1x + -6x = -5x 8 + -5x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -5x = 11 + 0 8 + -5x = 11 Add '-8' to each side of the equation. 8 + -8 + -5x = 11 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 11 + -8 -5x = 11 + -8 Combine like terms: 11 + -8 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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