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Simplifying 5(x + 2) + 2 = -10(x + -8) + -3 Reorder the terms: 5(2 + x) + 2 = -10(x + -8) + -3 (2 * 5 + x * 5) + 2 = -10(x + -8) + -3 (10 + 5x) + 2 = -10(x + -8) + -3 Reorder the terms: 10 + 2 + 5x = -10(x + -8) + -3 Combine like terms: 10 + 2 = 12 12 + 5x = -10(x + -8) + -3 Reorder the terms: 12 + 5x = -10(-8 + x) + -3 12 + 5x = (-8 * -10 + x * -10) + -3 12 + 5x = (80 + -10x) + -3 Reorder the terms: 12 + 5x = 80 + -3 + -10x Combine like terms: 80 + -3 = 77 12 + 5x = 77 + -10x Solving 12 + 5x = 77 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 12 + 5x + 10x = 77 + -10x + 10x Combine like terms: 5x + 10x = 15x 12 + 15x = 77 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + 15x = 77 + 0 12 + 15x = 77 Add '-12' to each side of the equation. 12 + -12 + 15x = 77 + -12 Combine like terms: 12 + -12 = 0 0 + 15x = 77 + -12 15x = 77 + -12 Combine like terms: 77 + -12 = 65 15x = 65 Divide each side by '15'. x = 4.333333333 Simplifying x = 4.333333333
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