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Simplifying 15x + -6 = 7x + 42 Reorder the terms: -6 + 15x = 7x + 42 Reorder the terms: -6 + 15x = 42 + 7x Solving -6 + 15x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 15x + -7x = 42 + 7x + -7x Combine like terms: 15x + -7x = 8x -6 + 8x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 8x = 42 + 0 -6 + 8x = 42 Add '6' to each side of the equation. -6 + 6 + 8x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 42 + 6 8x = 42 + 6 Combine like terms: 42 + 6 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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