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Simplifying 6x + 26 + -10 = 8(4x + 10) Reorder the terms: 26 + -10 + 6x = 8(4x + 10) Combine like terms: 26 + -10 = 16 16 + 6x = 8(4x + 10) Reorder the terms: 16 + 6x = 8(10 + 4x) 16 + 6x = (10 * 8 + 4x * 8) 16 + 6x = (80 + 32x) Solving 16 + 6x = 80 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 16 + 6x + -32x = 80 + 32x + -32x Combine like terms: 6x + -32x = -26x 16 + -26x = 80 + 32x + -32x Combine like terms: 32x + -32x = 0 16 + -26x = 80 + 0 16 + -26x = 80 Add '-16' to each side of the equation. 16 + -16 + -26x = 80 + -16 Combine like terms: 16 + -16 = 0 0 + -26x = 80 + -16 -26x = 80 + -16 Combine like terms: 80 + -16 = 64 -26x = 64 Divide each side by '-26'. x = -2.461538462 Simplifying x = -2.461538462
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