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Simplifying 5 + -4(x + -7) = 24 + 5x Reorder the terms: 5 + -4(-7 + x) = 24 + 5x 5 + (-7 * -4 + x * -4) = 24 + 5x 5 + (28 + -4x) = 24 + 5x Combine like terms: 5 + 28 = 33 33 + -4x = 24 + 5x Solving 33 + -4x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 33 + -4x + -5x = 24 + 5x + -5x Combine like terms: -4x + -5x = -9x 33 + -9x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 33 + -9x = 24 + 0 33 + -9x = 24 Add '-33' to each side of the equation. 33 + -33 + -9x = 24 + -33 Combine like terms: 33 + -33 = 0 0 + -9x = 24 + -33 -9x = 24 + -33 Combine like terms: 24 + -33 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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