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Simplifying 5x + -1(7 + -4x) = x + -24 5x + (7 * -1 + -4x * -1) = x + -24 5x + (-7 + 4x) = x + -24 Reorder the terms: -7 + 5x + 4x = x + -24 Combine like terms: 5x + 4x = 9x -7 + 9x = x + -24 Reorder the terms: -7 + 9x = -24 + x Solving -7 + 9x = -24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 9x + -1x = -24 + x + -1x Combine like terms: 9x + -1x = 8x -7 + 8x = -24 + x + -1x Combine like terms: x + -1x = 0 -7 + 8x = -24 + 0 -7 + 8x = -24 Add '7' to each side of the equation. -7 + 7 + 8x = -24 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = -24 + 7 8x = -24 + 7 Combine like terms: -24 + 7 = -17 8x = -17 Divide each side by '8'. x = -2.125 Simplifying x = -2.125
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