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Simplifying 2x + -3(2x + -7) = 10 + x + -14 Reorder the terms: 2x + -3(-7 + 2x) = 10 + x + -14 2x + (-7 * -3 + 2x * -3) = 10 + x + -14 2x + (21 + -6x) = 10 + x + -14 Reorder the terms: 21 + 2x + -6x = 10 + x + -14 Combine like terms: 2x + -6x = -4x 21 + -4x = 10 + x + -14 Reorder the terms: 21 + -4x = 10 + -14 + x Combine like terms: 10 + -14 = -4 21 + -4x = -4 + x Solving 21 + -4x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 21 + -4x + -1x = -4 + x + -1x Combine like terms: -4x + -1x = -5x 21 + -5x = -4 + x + -1x Combine like terms: x + -1x = 0 21 + -5x = -4 + 0 21 + -5x = -4 Add '-21' to each side of the equation. 21 + -21 + -5x = -4 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = -4 + -21 -5x = -4 + -21 Combine like terms: -4 + -21 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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