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Simplifying 4 + -3(2x + -7) = 45 + 14x Reorder the terms: 4 + -3(-7 + 2x) = 45 + 14x 4 + (-7 * -3 + 2x * -3) = 45 + 14x 4 + (21 + -6x) = 45 + 14x Combine like terms: 4 + 21 = 25 25 + -6x = 45 + 14x Solving 25 + -6x = 45 + 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. 25 + -6x + -14x = 45 + 14x + -14x Combine like terms: -6x + -14x = -20x 25 + -20x = 45 + 14x + -14x Combine like terms: 14x + -14x = 0 25 + -20x = 45 + 0 25 + -20x = 45 Add '-25' to each side of the equation. 25 + -25 + -20x = 45 + -25 Combine like terms: 25 + -25 = 0 0 + -20x = 45 + -25 -20x = 45 + -25 Combine like terms: 45 + -25 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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