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Simplifying 23x + -10 + -14 = 3(3x + -4) + 2 Reorder the terms: -10 + -14 + 23x = 3(3x + -4) + 2 Combine like terms: -10 + -14 = -24 -24 + 23x = 3(3x + -4) + 2 Reorder the terms: -24 + 23x = 3(-4 + 3x) + 2 -24 + 23x = (-4 * 3 + 3x * 3) + 2 -24 + 23x = (-12 + 9x) + 2 Reorder the terms: -24 + 23x = -12 + 2 + 9x Combine like terms: -12 + 2 = -10 -24 + 23x = -10 + 9x Solving -24 + 23x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 23x + -9x = -10 + 9x + -9x Combine like terms: 23x + -9x = 14x -24 + 14x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 14x = -10 + 0 -24 + 14x = -10 Add '24' to each side of the equation. -24 + 24 + 14x = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = -10 + 24 14x = -10 + 24 Combine like terms: -10 + 24 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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