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Simplifying 7(8x + -11) = 5(2x + 3) Reorder the terms: 7(-11 + 8x) = 5(2x + 3) (-11 * 7 + 8x * 7) = 5(2x + 3) (-77 + 56x) = 5(2x + 3) Reorder the terms: -77 + 56x = 5(3 + 2x) -77 + 56x = (3 * 5 + 2x * 5) -77 + 56x = (15 + 10x) Solving -77 + 56x = 15 + 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. -77 + 56x + -10x = 15 + 10x + -10x Combine like terms: 56x + -10x = 46x -77 + 46x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -77 + 46x = 15 + 0 -77 + 46x = 15 Add '77' to each side of the equation. -77 + 77 + 46x = 15 + 77 Combine like terms: -77 + 77 = 0 0 + 46x = 15 + 77 46x = 15 + 77 Combine like terms: 15 + 77 = 92 46x = 92 Divide each side by '46'. x = 2 Simplifying x = 2
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