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Simplifying 8(x + 3) + 11 = -10(x + -10) + -11 Reorder the terms: 8(3 + x) + 11 = -10(x + -10) + -11 (3 * 8 + x * 8) + 11 = -10(x + -10) + -11 (24 + 8x) + 11 = -10(x + -10) + -11 Reorder the terms: 24 + 11 + 8x = -10(x + -10) + -11 Combine like terms: 24 + 11 = 35 35 + 8x = -10(x + -10) + -11 Reorder the terms: 35 + 8x = -10(-10 + x) + -11 35 + 8x = (-10 * -10 + x * -10) + -11 35 + 8x = (100 + -10x) + -11 Reorder the terms: 35 + 8x = 100 + -11 + -10x Combine like terms: 100 + -11 = 89 35 + 8x = 89 + -10x Solving 35 + 8x = 89 + -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. 35 + 8x + 10x = 89 + -10x + 10x Combine like terms: 8x + 10x = 18x 35 + 18x = 89 + -10x + 10x Combine like terms: -10x + 10x = 0 35 + 18x = 89 + 0 35 + 18x = 89 Add '-35' to each side of the equation. 35 + -35 + 18x = 89 + -35 Combine like terms: 35 + -35 = 0 0 + 18x = 89 + -35 18x = 89 + -35 Combine like terms: 89 + -35 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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