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Simplifying 35 + -1(7x + -42) = 3x + 66 Reorder the terms: 35 + -1(-42 + 7x) = 3x + 66 35 + (-42 * -1 + 7x * -1) = 3x + 66 35 + (42 + -7x) = 3x + 66 Combine like terms: 35 + 42 = 77 77 + -7x = 3x + 66 Reorder the terms: 77 + -7x = 66 + 3x Solving 77 + -7x = 66 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 77 + -7x + -3x = 66 + 3x + -3x Combine like terms: -7x + -3x = -10x 77 + -10x = 66 + 3x + -3x Combine like terms: 3x + -3x = 0 77 + -10x = 66 + 0 77 + -10x = 66 Add '-77' to each side of the equation. 77 + -77 + -10x = 66 + -77 Combine like terms: 77 + -77 = 0 0 + -10x = 66 + -77 -10x = 66 + -77 Combine like terms: 66 + -77 = -11 -10x = -11 Divide each side by '-10'. x = 1.1 Simplifying x = 1.1
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