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Simplifying 4(5 + -1x) + 5x + 2x(3 + 5) = -14 (5 * 4 + -1x * 4) + 5x + 2x(3 + 5) = -14 (20 + -4x) + 5x + 2x(3 + 5) = -14 Combine like terms: 3 + 5 = 8 20 + -4x + 5x + 2x(8) = -14 Reorder the terms for easier multiplication: 20 + -4x + 5x + 2 * 8x = -14 Multiply 2 * 8 20 + -4x + 5x + 16x = -14 Combine like terms: -4x + 5x = 1x 20 + 1x + 16x = -14 Combine like terms: 1x + 16x = 17x 20 + 17x = -14 Solving 20 + 17x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 17x = -14 + -20 Combine like terms: 20 + -20 = 0 0 + 17x = -14 + -20 17x = -14 + -20 Combine like terms: -14 + -20 = -34 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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