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Simplifying 4 + -1(x + -10) = 7(x + 11) Reorder the terms: 4 + -1(-10 + x) = 7(x + 11) 4 + (-10 * -1 + x * -1) = 7(x + 11) 4 + (10 + -1x) = 7(x + 11) Combine like terms: 4 + 10 = 14 14 + -1x = 7(x + 11) Reorder the terms: 14 + -1x = 7(11 + x) 14 + -1x = (11 * 7 + x * 7) 14 + -1x = (77 + 7x) Solving 14 + -1x = 77 + 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. 14 + -1x + -7x = 77 + 7x + -7x Combine like terms: -1x + -7x = -8x 14 + -8x = 77 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -8x = 77 + 0 14 + -8x = 77 Add '-14' to each side of the equation. 14 + -14 + -8x = 77 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = 77 + -14 -8x = 77 + -14 Combine like terms: 77 + -14 = 63 -8x = 63 Divide each side by '-8'. x = -7.875 Simplifying x = -7.875
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