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Simplifying 10x + -7y + -3 = -7 + 2x + -4 Reorder the terms: -3 + 10x + -7y = -7 + 2x + -4 Reorder the terms: -3 + 10x + -7y = -7 + -4 + 2x Combine like terms: -7 + -4 = -11 -3 + 10x + -7y = -11 + 2x Solving -3 + 10x + -7y = -11 + 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. -3 + 10x + -2x + -7y = -11 + 2x + -2x Combine like terms: 10x + -2x = 8x -3 + 8x + -7y = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 8x + -7y = -11 + 0 -3 + 8x + -7y = -11 Add '3' to each side of the equation. -3 + 8x + 3 + -7y = -11 + 3 Reorder the terms: -3 + 3 + 8x + -7y = -11 + 3 Combine like terms: -3 + 3 = 0 0 + 8x + -7y = -11 + 3 8x + -7y = -11 + 3 Combine like terms: -11 + 3 = -8 8x + -7y = -8 Add '7y' to each side of the equation. 8x + -7y + 7y = -8 + 7y Combine like terms: -7y + 7y = 0 8x + 0 = -8 + 7y 8x = -8 + 7y Divide each side by '8'. x = -1 + 0.875y Simplifying x = -1 + 0.875y
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