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Simplifying 24 + -3x + 7x = -2(-9x + 2) Combine like terms: -3x + 7x = 4x 24 + 4x = -2(-9x + 2) Reorder the terms: 24 + 4x = -2(2 + -9x) 24 + 4x = (2 * -2 + -9x * -2) 24 + 4x = (-4 + 18x) Solving 24 + 4x = -4 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 24 + 4x + -18x = -4 + 18x + -18x Combine like terms: 4x + -18x = -14x 24 + -14x = -4 + 18x + -18x Combine like terms: 18x + -18x = 0 24 + -14x = -4 + 0 24 + -14x = -4 Add '-24' to each side of the equation. 24 + -24 + -14x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -14x = -4 + -24 -14x = -4 + -24 Combine like terms: -4 + -24 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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