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Simplifying -53 = -5x + 4(4x + 17) Reorder the terms: -53 = -5x + 4(17 + 4x) -53 = -5x + (17 * 4 + 4x * 4) -53 = -5x + (68 + 16x) Reorder the terms: -53 = 68 + -5x + 16x Combine like terms: -5x + 16x = 11x -53 = 68 + 11x Solving -53 = 68 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -53 + -11x = 68 + 11x + -11x Combine like terms: 11x + -11x = 0 -53 + -11x = 68 + 0 -53 + -11x = 68 Add '53' to each side of the equation. -53 + 53 + -11x = 68 + 53 Combine like terms: -53 + 53 = 0 0 + -11x = 68 + 53 -11x = 68 + 53 Combine like terms: 68 + 53 = 121 -11x = 121 Divide each side by '-11'. x = -11 Simplifying x = -11
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