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Simplifying X + -23 + 14x + -59 = 12(2x + -7) + -9x Reorder the terms: -23 + -59 + X + 14x = 12(2x + -7) + -9x Combine like terms: -23 + -59 = -82 -82 + X + 14x = 12(2x + -7) + -9x Reorder the terms: -82 + X + 14x = 12(-7 + 2x) + -9x -82 + X + 14x = (-7 * 12 + 2x * 12) + -9x -82 + X + 14x = (-84 + 24x) + -9x Combine like terms: 24x + -9x = 15x -82 + X + 14x = -84 + 15x Solving -82 + X + 14x = -84 + 15x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '82' to each side of the equation. -82 + X + 82 + 14x = -84 + 82 + 15x Reorder the terms: -82 + 82 + X + 14x = -84 + 82 + 15x Combine like terms: -82 + 82 = 0 0 + X + 14x = -84 + 82 + 15x X + 14x = -84 + 82 + 15x Combine like terms: -84 + 82 = -2 X + 14x = -2 + 15x Add '-14x' to each side of the equation. X + 14x + -14x = -2 + 15x + -14x Combine like terms: 14x + -14x = 0 X + 0 = -2 + 15x + -14x X = -2 + 15x + -14x Combine like terms: 15x + -14x = 1x X = -2 + 1x Simplifying X = -2 + 1x
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