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Simplifying 7(2x + 5) + -4(x + 2) + -20x = 0 Reorder the terms: 7(5 + 2x) + -4(x + 2) + -20x = 0 (5 * 7 + 2x * 7) + -4(x + 2) + -20x = 0 (35 + 14x) + -4(x + 2) + -20x = 0 Reorder the terms: 35 + 14x + -4(2 + x) + -20x = 0 35 + 14x + (2 * -4 + x * -4) + -20x = 0 35 + 14x + (-8 + -4x) + -20x = 0 Reorder the terms: 35 + -8 + 14x + -4x + -20x = 0 Combine like terms: 35 + -8 = 27 27 + 14x + -4x + -20x = 0 Combine like terms: 14x + -4x = 10x 27 + 10x + -20x = 0 Combine like terms: 10x + -20x = -10x 27 + -10x = 0 Solving 27 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -10x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -10x = 0 + -27 -10x = 0 + -27 Combine like terms: 0 + -27 = -27 -10x = -27 Divide each side by '-10'. x = 2.7 Simplifying x = 2.7
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