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Simplifying -6(x + 1) = 4x + -9 + 2(2x + -5) Reorder the terms: -6(1 + x) = 4x + -9 + 2(2x + -5) (1 * -6 + x * -6) = 4x + -9 + 2(2x + -5) (-6 + -6x) = 4x + -9 + 2(2x + -5) Reorder the terms: -6 + -6x = 4x + -9 + 2(-5 + 2x) -6 + -6x = 4x + -9 + (-5 * 2 + 2x * 2) -6 + -6x = 4x + -9 + (-10 + 4x) Reorder the terms: -6 + -6x = -9 + -10 + 4x + 4x Combine like terms: -9 + -10 = -19 -6 + -6x = -19 + 4x + 4x Combine like terms: 4x + 4x = 8x -6 + -6x = -19 + 8x Solving -6 + -6x = -19 + 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. -6 + -6x + -8x = -19 + 8x + -8x Combine like terms: -6x + -8x = -14x -6 + -14x = -19 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -14x = -19 + 0 -6 + -14x = -19 Add '6' to each side of the equation. -6 + 6 + -14x = -19 + 6 Combine like terms: -6 + 6 = 0 0 + -14x = -19 + 6 -14x = -19 + 6 Combine like terms: -19 + 6 = -13 -14x = -13 Divide each side by '-14'. x = 0.9285714286 Simplifying x = 0.9285714286
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