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Simplifying 6(x + 3) + 2 = -7(x + -6) + -10 Reorder the terms: 6(3 + x) + 2 = -7(x + -6) + -10 (3 * 6 + x * 6) + 2 = -7(x + -6) + -10 (18 + 6x) + 2 = -7(x + -6) + -10 Reorder the terms: 18 + 2 + 6x = -7(x + -6) + -10 Combine like terms: 18 + 2 = 20 20 + 6x = -7(x + -6) + -10 Reorder the terms: 20 + 6x = -7(-6 + x) + -10 20 + 6x = (-6 * -7 + x * -7) + -10 20 + 6x = (42 + -7x) + -10 Reorder the terms: 20 + 6x = 42 + -10 + -7x Combine like terms: 42 + -10 = 32 20 + 6x = 32 + -7x Solving 20 + 6x = 32 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 20 + 6x + 7x = 32 + -7x + 7x Combine like terms: 6x + 7x = 13x 20 + 13x = 32 + -7x + 7x Combine like terms: -7x + 7x = 0 20 + 13x = 32 + 0 20 + 13x = 32 Add '-20' to each side of the equation. 20 + -20 + 13x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 13x = 32 + -20 13x = 32 + -20 Combine like terms: 32 + -20 = 12 13x = 12 Divide each side by '13'. x = 0.9230769231 Simplifying x = 0.9230769231
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