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Simplifying -6 + -8x + -9 = 2(x + -5) + -4 Reorder the terms: -6 + -9 + -8x = 2(x + -5) + -4 Combine like terms: -6 + -9 = -15 -15 + -8x = 2(x + -5) + -4 Reorder the terms: -15 + -8x = 2(-5 + x) + -4 -15 + -8x = (-5 * 2 + x * 2) + -4 -15 + -8x = (-10 + 2x) + -4 Reorder the terms: -15 + -8x = -10 + -4 + 2x Combine like terms: -10 + -4 = -14 -15 + -8x = -14 + 2x Solving -15 + -8x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + -8x + -2x = -14 + 2x + -2x Combine like terms: -8x + -2x = -10x -15 + -10x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -10x = -14 + 0 -15 + -10x = -14 Add '15' to each side of the equation. -15 + 15 + -10x = -14 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = -14 + 15 -10x = -14 + 15 Combine like terms: -14 + 15 = 1 -10x = 1 Divide each side by '-10'. x = -0.1 Simplifying x = -0.1
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