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Simplifying 10x + -7 = 2x + -46 Reorder the terms: -7 + 10x = 2x + -46 Reorder the terms: -7 + 10x = -46 + 2x Solving -7 + 10x = -46 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 10x + -2x = -46 + 2x + -2x Combine like terms: 10x + -2x = 8x -7 + 8x = -46 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 8x = -46 + 0 -7 + 8x = -46 Add '7' to each side of the equation. -7 + 7 + 8x = -46 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = -46 + 7 8x = -46 + 7 Combine like terms: -46 + 7 = -39 8x = -39 Divide each side by '8'. x = -4.875 Simplifying x = -4.875
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