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Simplifying 5(x + 6) + -11x = -8x + -1(6 + -4x) Reorder the terms: 5(6 + x) + -11x = -8x + -1(6 + -4x) (6 * 5 + x * 5) + -11x = -8x + -1(6 + -4x) (30 + 5x) + -11x = -8x + -1(6 + -4x) Combine like terms: 5x + -11x = -6x 30 + -6x = -8x + -1(6 + -4x) 30 + -6x = -8x + (6 * -1 + -4x * -1) 30 + -6x = -8x + (-6 + 4x) Reorder the terms: 30 + -6x = -6 + -8x + 4x Combine like terms: -8x + 4x = -4x 30 + -6x = -6 + -4x Solving 30 + -6x = -6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 30 + -6x + 4x = -6 + -4x + 4x Combine like terms: -6x + 4x = -2x 30 + -2x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 30 + -2x = -6 + 0 30 + -2x = -6 Add '-30' to each side of the equation. 30 + -30 + -2x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = -6 + -30 -2x = -6 + -30 Combine like terms: -6 + -30 = -36 -2x = -36 Divide each side by '-2'. x = 18 Simplifying x = 18
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