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Simplifying 7 + 7(x + -4) = 4 + -2(x + -1) Reorder the terms: 7 + 7(-4 + x) = 4 + -2(x + -1) 7 + (-4 * 7 + x * 7) = 4 + -2(x + -1) 7 + (-28 + 7x) = 4 + -2(x + -1) Combine like terms: 7 + -28 = -21 -21 + 7x = 4 + -2(x + -1) Reorder the terms: -21 + 7x = 4 + -2(-1 + x) -21 + 7x = 4 + (-1 * -2 + x * -2) -21 + 7x = 4 + (2 + -2x) Combine like terms: 4 + 2 = 6 -21 + 7x = 6 + -2x Solving -21 + 7x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -21 + 7x + 2x = 6 + -2x + 2x Combine like terms: 7x + 2x = 9x -21 + 9x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + 9x = 6 + 0 -21 + 9x = 6 Add '21' to each side of the equation. -21 + 21 + 9x = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 9x = 6 + 21 9x = 6 + 21 Combine like terms: 6 + 21 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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