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Simplifying 10(x + 11) = -7(x + -10) Reorder the terms: 10(11 + x) = -7(x + -10) (11 * 10 + x * 10) = -7(x + -10) (110 + 10x) = -7(x + -10) Reorder the terms: 110 + 10x = -7(-10 + x) 110 + 10x = (-10 * -7 + x * -7) 110 + 10x = (70 + -7x) Solving 110 + 10x = 70 + -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. 110 + 10x + 7x = 70 + -7x + 7x Combine like terms: 10x + 7x = 17x 110 + 17x = 70 + -7x + 7x Combine like terms: -7x + 7x = 0 110 + 17x = 70 + 0 110 + 17x = 70 Add '-110' to each side of the equation. 110 + -110 + 17x = 70 + -110 Combine like terms: 110 + -110 = 0 0 + 17x = 70 + -110 17x = 70 + -110 Combine like terms: 70 + -110 = -40 17x = -40 Divide each side by '17'. x = -2.352941176 Simplifying x = -2.352941176
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