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Simplifying 2(x + -2) = 5x + 4 + -2(-6x + -1) Reorder the terms: 2(-2 + x) = 5x + 4 + -2(-6x + -1) (-2 * 2 + x * 2) = 5x + 4 + -2(-6x + -1) (-4 + 2x) = 5x + 4 + -2(-6x + -1) Reorder the terms: -4 + 2x = 5x + 4 + -2(-1 + -6x) -4 + 2x = 5x + 4 + (-1 * -2 + -6x * -2) -4 + 2x = 5x + 4 + (2 + 12x) Reorder the terms: -4 + 2x = 4 + 2 + 5x + 12x Combine like terms: 4 + 2 = 6 -4 + 2x = 6 + 5x + 12x Combine like terms: 5x + 12x = 17x -4 + 2x = 6 + 17x Solving -4 + 2x = 6 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -4 + 2x + -17x = 6 + 17x + -17x Combine like terms: 2x + -17x = -15x -4 + -15x = 6 + 17x + -17x Combine like terms: 17x + -17x = 0 -4 + -15x = 6 + 0 -4 + -15x = 6 Add '4' to each side of the equation. -4 + 4 + -15x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -15x = 6 + 4 -15x = 6 + 4 Combine like terms: 6 + 4 = 10 -15x = 10 Divide each side by '-15'. x = -0.6666666667 Simplifying x = -0.6666666667
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