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Simplifying (-7x + 7) + 4 = -6(x + 4) Reorder the terms: (7 + -7x) + 4 = -6(x + 4) Remove parenthesis around (7 + -7x) 7 + -7x + 4 = -6(x + 4) Reorder the terms: 7 + 4 + -7x = -6(x + 4) Combine like terms: 7 + 4 = 11 11 + -7x = -6(x + 4) Reorder the terms: 11 + -7x = -6(4 + x) 11 + -7x = (4 * -6 + x * -6) 11 + -7x = (-24 + -6x) Solving 11 + -7x = -24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 11 + -7x + 6x = -24 + -6x + 6x Combine like terms: -7x + 6x = -1x 11 + -1x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 11 + -1x = -24 + 0 11 + -1x = -24 Add '-11' to each side of the equation. 11 + -11 + -1x = -24 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = -24 + -11 -1x = -24 + -11 Combine like terms: -24 + -11 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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