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Simplifying 7x + -28 + 3x + -18 = 6x + -12 Reorder the terms: -28 + -18 + 7x + 3x = 6x + -12 Combine like terms: -28 + -18 = -46 -46 + 7x + 3x = 6x + -12 Combine like terms: 7x + 3x = 10x -46 + 10x = 6x + -12 Reorder the terms: -46 + 10x = -12 + 6x Solving -46 + 10x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -46 + 10x + -6x = -12 + 6x + -6x Combine like terms: 10x + -6x = 4x -46 + 4x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -46 + 4x = -12 + 0 -46 + 4x = -12 Add '46' to each side of the equation. -46 + 46 + 4x = -12 + 46 Combine like terms: -46 + 46 = 0 0 + 4x = -12 + 46 4x = -12 + 46 Combine like terms: -12 + 46 = 34 4x = 34 Divide each side by '4'. x = 8.5 Simplifying x = 8.5
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