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Simplifying 6x + 26x + -6 = 8 + 4x + 7 Reorder the terms: -6 + 6x + 26x = 8 + 4x + 7 Combine like terms: 6x + 26x = 32x -6 + 32x = 8 + 4x + 7 Reorder the terms: -6 + 32x = 8 + 7 + 4x Combine like terms: 8 + 7 = 15 -6 + 32x = 15 + 4x Solving -6 + 32x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 32x + -4x = 15 + 4x + -4x Combine like terms: 32x + -4x = 28x -6 + 28x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 28x = 15 + 0 -6 + 28x = 15 Add '6' to each side of the equation. -6 + 6 + 28x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 28x = 15 + 6 28x = 15 + 6 Combine like terms: 15 + 6 = 21 28x = 21 Divide each side by '28'. x = 0.75 Simplifying x = 0.75
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