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Simplifying -4(8 + 7x) = 10 + -6x (8 * -4 + 7x * -4) = 10 + -6x (-32 + -28x) = 10 + -6x Solving -32 + -28x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -32 + -28x + 6x = 10 + -6x + 6x Combine like terms: -28x + 6x = -22x -32 + -22x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -32 + -22x = 10 + 0 -32 + -22x = 10 Add '32' to each side of the equation. -32 + 32 + -22x = 10 + 32 Combine like terms: -32 + 32 = 0 0 + -22x = 10 + 32 -22x = 10 + 32 Combine like terms: 10 + 32 = 42 -22x = 42 Divide each side by '-22'. x = -1.909090909 Simplifying x = -1.909090909
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