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Simplifying 6(-5x + -6) = 8(2x + -10) + 5 Reorder the terms: 6(-6 + -5x) = 8(2x + -10) + 5 (-6 * 6 + -5x * 6) = 8(2x + -10) + 5 (-36 + -30x) = 8(2x + -10) + 5 Reorder the terms: -36 + -30x = 8(-10 + 2x) + 5 -36 + -30x = (-10 * 8 + 2x * 8) + 5 -36 + -30x = (-80 + 16x) + 5 Reorder the terms: -36 + -30x = -80 + 5 + 16x Combine like terms: -80 + 5 = -75 -36 + -30x = -75 + 16x Solving -36 + -30x = -75 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -36 + -30x + -16x = -75 + 16x + -16x Combine like terms: -30x + -16x = -46x -36 + -46x = -75 + 16x + -16x Combine like terms: 16x + -16x = 0 -36 + -46x = -75 + 0 -36 + -46x = -75 Add '36' to each side of the equation. -36 + 36 + -46x = -75 + 36 Combine like terms: -36 + 36 = 0 0 + -46x = -75 + 36 -46x = -75 + 36 Combine like terms: -75 + 36 = -39 -46x = -39 Divide each side by '-46'. x = 0.847826087 Simplifying x = 0.847826087
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