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Simplifying 6(x + -6) + 8 = -8x + -10 Reorder the terms: 6(-6 + x) + 8 = -8x + -10 (-6 * 6 + x * 6) + 8 = -8x + -10 (-36 + 6x) + 8 = -8x + -10 Reorder the terms: -36 + 8 + 6x = -8x + -10 Combine like terms: -36 + 8 = -28 -28 + 6x = -8x + -10 Reorder the terms: -28 + 6x = -10 + -8x Solving -28 + 6x = -10 + -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. -28 + 6x + 8x = -10 + -8x + 8x Combine like terms: 6x + 8x = 14x -28 + 14x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 -28 + 14x = -10 + 0 -28 + 14x = -10 Add '28' to each side of the equation. -28 + 28 + 14x = -10 + 28 Combine like terms: -28 + 28 = 0 0 + 14x = -10 + 28 14x = -10 + 28 Combine like terms: -10 + 28 = 18 14x = 18 Divide each side by '14'. x = 1.285714286 Simplifying x = 1.285714286
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