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Simplifying 4x + -7(6x + 2) = 4(5x + -1) Reorder the terms: 4x + -7(2 + 6x) = 4(5x + -1) 4x + (2 * -7 + 6x * -7) = 4(5x + -1) 4x + (-14 + -42x) = 4(5x + -1) Reorder the terms: -14 + 4x + -42x = 4(5x + -1) Combine like terms: 4x + -42x = -38x -14 + -38x = 4(5x + -1) Reorder the terms: -14 + -38x = 4(-1 + 5x) -14 + -38x = (-1 * 4 + 5x * 4) -14 + -38x = (-4 + 20x) Solving -14 + -38x = -4 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -14 + -38x + -20x = -4 + 20x + -20x Combine like terms: -38x + -20x = -58x -14 + -58x = -4 + 20x + -20x Combine like terms: 20x + -20x = 0 -14 + -58x = -4 + 0 -14 + -58x = -4 Add '14' to each side of the equation. -14 + 14 + -58x = -4 + 14 Combine like terms: -14 + 14 = 0 0 + -58x = -4 + 14 -58x = -4 + 14 Combine like terms: -4 + 14 = 10 -58x = 10 Divide each side by '-58'. x = -0.1724137931 Simplifying x = -0.1724137931
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