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Simplifying 6x + -1(5x + 2) = 4(1 + x) Reorder the terms: 6x + -1(2 + 5x) = 4(1 + x) 6x + (2 * -1 + 5x * -1) = 4(1 + x) 6x + (-2 + -5x) = 4(1 + x) Reorder the terms: -2 + 6x + -5x = 4(1 + x) Combine like terms: 6x + -5x = 1x -2 + 1x = 4(1 + x) -2 + 1x = (1 * 4 + x * 4) -2 + 1x = (4 + 4x) Solving -2 + 1x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 1x + -4x = 4 + 4x + -4x Combine like terms: 1x + -4x = -3x -2 + -3x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -3x = 4 + 0 -2 + -3x = 4 Add '2' to each side of the equation. -2 + 2 + -3x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 4 + 2 -3x = 4 + 2 Combine like terms: 4 + 2 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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