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Simplifying 7(x + -4) = 4 + -2(x + -2) Reorder the terms: 7(-4 + x) = 4 + -2(x + -2) (-4 * 7 + x * 7) = 4 + -2(x + -2) (-28 + 7x) = 4 + -2(x + -2) Reorder the terms: -28 + 7x = 4 + -2(-2 + x) -28 + 7x = 4 + (-2 * -2 + x * -2) -28 + 7x = 4 + (4 + -2x) Combine like terms: 4 + 4 = 8 -28 + 7x = 8 + -2x Solving -28 + 7x = 8 + -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. -28 + 7x + 2x = 8 + -2x + 2x Combine like terms: 7x + 2x = 9x -28 + 9x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -28 + 9x = 8 + 0 -28 + 9x = 8 Add '28' to each side of the equation. -28 + 28 + 9x = 8 + 28 Combine like terms: -28 + 28 = 0 0 + 9x = 8 + 28 9x = 8 + 28 Combine like terms: 8 + 28 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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