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Simplifying 4(x + -7) = -9x + 24 Reorder the terms: 4(-7 + x) = -9x + 24 (-7 * 4 + x * 4) = -9x + 24 (-28 + 4x) = -9x + 24 Reorder the terms: -28 + 4x = 24 + -9x Solving -28 + 4x = 24 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -28 + 4x + 9x = 24 + -9x + 9x Combine like terms: 4x + 9x = 13x -28 + 13x = 24 + -9x + 9x Combine like terms: -9x + 9x = 0 -28 + 13x = 24 + 0 -28 + 13x = 24 Add '28' to each side of the equation. -28 + 28 + 13x = 24 + 28 Combine like terms: -28 + 28 = 0 0 + 13x = 24 + 28 13x = 24 + 28 Combine like terms: 24 + 28 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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