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Simplifying 5(x + 6) + 3 = -6(x + -3) + -8 Reorder the terms: 5(6 + x) + 3 = -6(x + -3) + -8 (6 * 5 + x * 5) + 3 = -6(x + -3) + -8 (30 + 5x) + 3 = -6(x + -3) + -8 Reorder the terms: 30 + 3 + 5x = -6(x + -3) + -8 Combine like terms: 30 + 3 = 33 33 + 5x = -6(x + -3) + -8 Reorder the terms: 33 + 5x = -6(-3 + x) + -8 33 + 5x = (-3 * -6 + x * -6) + -8 33 + 5x = (18 + -6x) + -8 Reorder the terms: 33 + 5x = 18 + -8 + -6x Combine like terms: 18 + -8 = 10 33 + 5x = 10 + -6x Solving 33 + 5x = 10 + -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. 33 + 5x + 6x = 10 + -6x + 6x Combine like terms: 5x + 6x = 11x 33 + 11x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 33 + 11x = 10 + 0 33 + 11x = 10 Add '-33' to each side of the equation. 33 + -33 + 11x = 10 + -33 Combine like terms: 33 + -33 = 0 0 + 11x = 10 + -33 11x = 10 + -33 Combine like terms: 10 + -33 = -23 11x = -23 Divide each side by '11'. x = -2.090909091 Simplifying x = -2.090909091
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