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Simplifying 4(x + -7) = 9 + -1(x + 2) Reorder the terms: 4(-7 + x) = 9 + -1(x + 2) (-7 * 4 + x * 4) = 9 + -1(x + 2) (-28 + 4x) = 9 + -1(x + 2) Reorder the terms: -28 + 4x = 9 + -1(2 + x) -28 + 4x = 9 + (2 * -1 + x * -1) -28 + 4x = 9 + (-2 + -1x) Combine like terms: 9 + -2 = 7 -28 + 4x = 7 + -1x Solving -28 + 4x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -28 + 4x + x = 7 + -1x + x Combine like terms: 4x + x = 5x -28 + 5x = 7 + -1x + x Combine like terms: -1x + x = 0 -28 + 5x = 7 + 0 -28 + 5x = 7 Add '28' to each side of the equation. -28 + 28 + 5x = 7 + 28 Combine like terms: -28 + 28 = 0 0 + 5x = 7 + 28 5x = 7 + 28 Combine like terms: 7 + 28 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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