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Simplifying -7(2x + -3) + 5x + -4 = 53 Reorder the terms: -7(-3 + 2x) + 5x + -4 = 53 (-3 * -7 + 2x * -7) + 5x + -4 = 53 (21 + -14x) + 5x + -4 = 53 Reorder the terms: 21 + -4 + -14x + 5x = 53 Combine like terms: 21 + -4 = 17 17 + -14x + 5x = 53 Combine like terms: -14x + 5x = -9x 17 + -9x = 53 Solving 17 + -9x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -9x = 53 + -17 Combine like terms: 17 + -17 = 0 0 + -9x = 53 + -17 -9x = 53 + -17 Combine like terms: 53 + -17 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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