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Simplifying -6 + -1(3 + 2x) = 4x + -5(2 + -2x) + 3 -6 + (3 * -1 + 2x * -1) = 4x + -5(2 + -2x) + 3 -6 + (-3 + -2x) = 4x + -5(2 + -2x) + 3 Combine like terms: -6 + -3 = -9 -9 + -2x = 4x + -5(2 + -2x) + 3 -9 + -2x = 4x + (2 * -5 + -2x * -5) + 3 -9 + -2x = 4x + (-10 + 10x) + 3 Reorder the terms: -9 + -2x = -10 + 3 + 4x + 10x Combine like terms: -10 + 3 = -7 -9 + -2x = -7 + 4x + 10x Combine like terms: 4x + 10x = 14x -9 + -2x = -7 + 14x Solving -9 + -2x = -7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -9 + -2x + -14x = -7 + 14x + -14x Combine like terms: -2x + -14x = -16x -9 + -16x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 -9 + -16x = -7 + 0 -9 + -16x = -7 Add '9' to each side of the equation. -9 + 9 + -16x = -7 + 9 Combine like terms: -9 + 9 = 0 0 + -16x = -7 + 9 -16x = -7 + 9 Combine like terms: -7 + 9 = 2 -16x = 2 Divide each side by '-16'. x = -0.125 Simplifying x = -0.125
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