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Simplifying 7x + -9 = 28 + 4(x + -1) Reorder the terms: -9 + 7x = 28 + 4(x + -1) Reorder the terms: -9 + 7x = 28 + 4(-1 + x) -9 + 7x = 28 + (-1 * 4 + x * 4) -9 + 7x = 28 + (-4 + 4x) Combine like terms: 28 + -4 = 24 -9 + 7x = 24 + 4x Solving -9 + 7x = 24 + 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. -9 + 7x + -4x = 24 + 4x + -4x Combine like terms: 7x + -4x = 3x -9 + 3x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 3x = 24 + 0 -9 + 3x = 24 Add '9' to each side of the equation. -9 + 9 + 3x = 24 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 24 + 9 3x = 24 + 9 Combine like terms: 24 + 9 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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