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Simplifying 10x + -24 + -1x = 5(x + -4) Reorder the terms: -24 + 10x + -1x = 5(x + -4) Combine like terms: 10x + -1x = 9x -24 + 9x = 5(x + -4) Reorder the terms: -24 + 9x = 5(-4 + x) -24 + 9x = (-4 * 5 + x * 5) -24 + 9x = (-20 + 5x) Solving -24 + 9x = -20 + 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. -24 + 9x + -5x = -20 + 5x + -5x Combine like terms: 9x + -5x = 4x -24 + 4x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 4x = -20 + 0 -24 + 4x = -20 Add '24' to each side of the equation. -24 + 24 + 4x = -20 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -20 + 24 4x = -20 + 24 Combine like terms: -20 + 24 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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