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Simplifying 5(3 + x) = 4(4x + -1) + -69 (3 * 5 + x * 5) = 4(4x + -1) + -69 (15 + 5x) = 4(4x + -1) + -69 Reorder the terms: 15 + 5x = 4(-1 + 4x) + -69 15 + 5x = (-1 * 4 + 4x * 4) + -69 15 + 5x = (-4 + 16x) + -69 Reorder the terms: 15 + 5x = -4 + -69 + 16x Combine like terms: -4 + -69 = -73 15 + 5x = -73 + 16x Solving 15 + 5x = -73 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 15 + 5x + -16x = -73 + 16x + -16x Combine like terms: 5x + -16x = -11x 15 + -11x = -73 + 16x + -16x Combine like terms: 16x + -16x = 0 15 + -11x = -73 + 0 15 + -11x = -73 Add '-15' to each side of the equation. 15 + -15 + -11x = -73 + -15 Combine like terms: 15 + -15 = 0 0 + -11x = -73 + -15 -11x = -73 + -15 Combine like terms: -73 + -15 = -88 -11x = -88 Divide each side by '-11'. x = 8 Simplifying x = 8
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