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Simplifying 7(6 + -1x) = 16 + (2 + -4x) (6 * 7 + -1x * 7) = 16 + (2 + -4x) (42 + -7x) = 16 + (2 + -4x) Remove parenthesis around (2 + -4x) 42 + -7x = 16 + 2 + -4x Combine like terms: 16 + 2 = 18 42 + -7x = 18 + -4x Solving 42 + -7x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 42 + -7x + 4x = 18 + -4x + 4x Combine like terms: -7x + 4x = -3x 42 + -3x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 42 + -3x = 18 + 0 42 + -3x = 18 Add '-42' to each side of the equation. 42 + -42 + -3x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + -3x = 18 + -42 -3x = 18 + -42 Combine like terms: 18 + -42 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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