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Simplifying 3 + -1(5x + 1) = 5x + -1(3x + -5) Reorder the terms: 3 + -1(1 + 5x) = 5x + -1(3x + -5) 3 + (1 * -1 + 5x * -1) = 5x + -1(3x + -5) 3 + (-1 + -5x) = 5x + -1(3x + -5) Combine like terms: 3 + -1 = 2 2 + -5x = 5x + -1(3x + -5) Reorder the terms: 2 + -5x = 5x + -1(-5 + 3x) 2 + -5x = 5x + (-5 * -1 + 3x * -1) 2 + -5x = 5x + (5 + -3x) Reorder the terms: 2 + -5x = 5 + 5x + -3x Combine like terms: 5x + -3x = 2x 2 + -5x = 5 + 2x Solving 2 + -5x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + -5x + -2x = 5 + 2x + -2x Combine like terms: -5x + -2x = -7x 2 + -7x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -7x = 5 + 0 2 + -7x = 5 Add '-2' to each side of the equation. 2 + -2 + -7x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 5 + -2 -7x = 5 + -2 Combine like terms: 5 + -2 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286
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