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Simplifying 5(2 + -1x) + -3(4x + 1) = 0 (2 * 5 + -1x * 5) + -3(4x + 1) = 0 (10 + -5x) + -3(4x + 1) = 0 Reorder the terms: 10 + -5x + -3(1 + 4x) = 0 10 + -5x + (1 * -3 + 4x * -3) = 0 10 + -5x + (-3 + -12x) = 0 Reorder the terms: 10 + -3 + -5x + -12x = 0 Combine like terms: 10 + -3 = 7 7 + -5x + -12x = 0 Combine like terms: -5x + -12x = -17x 7 + -17x = 0 Solving 7 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -17x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -17x = 0 + -7 -17x = 0 + -7 Combine like terms: 0 + -7 = -7 -17x = -7 Divide each side by '-17'. x = 0.4117647059 Simplifying x = 0.4117647059
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