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Simplifying 3(x + -1) + -7x = 2x + 5(1 + -4x) Reorder the terms: 3(-1 + x) + -7x = 2x + 5(1 + -4x) (-1 * 3 + x * 3) + -7x = 2x + 5(1 + -4x) (-3 + 3x) + -7x = 2x + 5(1 + -4x) Combine like terms: 3x + -7x = -4x -3 + -4x = 2x + 5(1 + -4x) -3 + -4x = 2x + (1 * 5 + -4x * 5) -3 + -4x = 2x + (5 + -20x) Reorder the terms: -3 + -4x = 5 + 2x + -20x Combine like terms: 2x + -20x = -18x -3 + -4x = 5 + -18x Solving -3 + -4x = 5 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -3 + -4x + 18x = 5 + -18x + 18x Combine like terms: -4x + 18x = 14x -3 + 14x = 5 + -18x + 18x Combine like terms: -18x + 18x = 0 -3 + 14x = 5 + 0 -3 + 14x = 5 Add '3' to each side of the equation. -3 + 3 + 14x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 14x = 5 + 3 14x = 5 + 3 Combine like terms: 5 + 3 = 8 14x = 8 Divide each side by '14'. x = 0.5714285714 Simplifying x = 0.5714285714
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