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Simplifying -4(x + 2) = 6x + -4 + 2(2x + 7) Reorder the terms: -4(2 + x) = 6x + -4 + 2(2x + 7) (2 * -4 + x * -4) = 6x + -4 + 2(2x + 7) (-8 + -4x) = 6x + -4 + 2(2x + 7) Reorder the terms: -8 + -4x = 6x + -4 + 2(7 + 2x) -8 + -4x = 6x + -4 + (7 * 2 + 2x * 2) -8 + -4x = 6x + -4 + (14 + 4x) Reorder the terms: -8 + -4x = -4 + 14 + 6x + 4x Combine like terms: -4 + 14 = 10 -8 + -4x = 10 + 6x + 4x Combine like terms: 6x + 4x = 10x -8 + -4x = 10 + 10x Solving -8 + -4x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + -4x + -10x = 10 + 10x + -10x Combine like terms: -4x + -10x = -14x -8 + -14x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -14x = 10 + 0 -8 + -14x = 10 Add '8' to each side of the equation. -8 + 8 + -14x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -14x = 10 + 8 -14x = 10 + 8 Combine like terms: 10 + 8 = 18 -14x = 18 Divide each side by '-14'. x = -1.285714286 Simplifying x = -1.285714286
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