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Simplifying -5x + 24 = 2x + -4(2 + -3x) Reorder the terms: 24 + -5x = 2x + -4(2 + -3x) 24 + -5x = 2x + (2 * -4 + -3x * -4) 24 + -5x = 2x + (-8 + 12x) Reorder the terms: 24 + -5x = -8 + 2x + 12x Combine like terms: 2x + 12x = 14x 24 + -5x = -8 + 14x Solving 24 + -5x = -8 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 24 + -5x + -14x = -8 + 14x + -14x Combine like terms: -5x + -14x = -19x 24 + -19x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 24 + -19x = -8 + 0 24 + -19x = -8 Add '-24' to each side of the equation. 24 + -24 + -19x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -19x = -8 + -24 -19x = -8 + -24 Combine like terms: -8 + -24 = -32 -19x = -32 Divide each side by '-19'. x = 1.684210526 Simplifying x = 1.684210526
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