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Simplifying 3x + -1(x + 2) = 4(2x + -5) + -6 Reorder the terms: 3x + -1(2 + x) = 4(2x + -5) + -6 3x + (2 * -1 + x * -1) = 4(2x + -5) + -6 3x + (-2 + -1x) = 4(2x + -5) + -6 Reorder the terms: -2 + 3x + -1x = 4(2x + -5) + -6 Combine like terms: 3x + -1x = 2x -2 + 2x = 4(2x + -5) + -6 Reorder the terms: -2 + 2x = 4(-5 + 2x) + -6 -2 + 2x = (-5 * 4 + 2x * 4) + -6 -2 + 2x = (-20 + 8x) + -6 Reorder the terms: -2 + 2x = -20 + -6 + 8x Combine like terms: -20 + -6 = -26 -2 + 2x = -26 + 8x Solving -2 + 2x = -26 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 2x + -8x = -26 + 8x + -8x Combine like terms: 2x + -8x = -6x -2 + -6x = -26 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -6x = -26 + 0 -2 + -6x = -26 Add '2' to each side of the equation. -2 + 2 + -6x = -26 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -26 + 2 -6x = -26 + 2 Combine like terms: -26 + 2 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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