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Simplifying 6(x + 6) + 2 = -2(x + -3) + -11 Reorder the terms: 6(6 + x) + 2 = -2(x + -3) + -11 (6 * 6 + x * 6) + 2 = -2(x + -3) + -11 (36 + 6x) + 2 = -2(x + -3) + -11 Reorder the terms: 36 + 2 + 6x = -2(x + -3) + -11 Combine like terms: 36 + 2 = 38 38 + 6x = -2(x + -3) + -11 Reorder the terms: 38 + 6x = -2(-3 + x) + -11 38 + 6x = (-3 * -2 + x * -2) + -11 38 + 6x = (6 + -2x) + -11 Reorder the terms: 38 + 6x = 6 + -11 + -2x Combine like terms: 6 + -11 = -5 38 + 6x = -5 + -2x Solving 38 + 6x = -5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 38 + 6x + 2x = -5 + -2x + 2x Combine like terms: 6x + 2x = 8x 38 + 8x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 38 + 8x = -5 + 0 38 + 8x = -5 Add '-38' to each side of the equation. 38 + -38 + 8x = -5 + -38 Combine like terms: 38 + -38 = 0 0 + 8x = -5 + -38 8x = -5 + -38 Combine like terms: -5 + -38 = -43 8x = -43 Divide each side by '8'. x = -5.375 Simplifying x = -5.375
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