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Simplifying 8x + -4 + -7y + 15 = 3(x + -2) Reorder the terms: -4 + 15 + 8x + -7y = 3(x + -2) Combine like terms: -4 + 15 = 11 11 + 8x + -7y = 3(x + -2) Reorder the terms: 11 + 8x + -7y = 3(-2 + x) 11 + 8x + -7y = (-2 * 3 + x * 3) 11 + 8x + -7y = (-6 + 3x) Solving 11 + 8x + -7y = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + 8x + -3x + -7y = -6 + 3x + -3x Combine like terms: 8x + -3x = 5x 11 + 5x + -7y = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + 5x + -7y = -6 + 0 11 + 5x + -7y = -6 Add '-11' to each side of the equation. 11 + 5x + -11 + -7y = -6 + -11 Reorder the terms: 11 + -11 + 5x + -7y = -6 + -11 Combine like terms: 11 + -11 = 0 0 + 5x + -7y = -6 + -11 5x + -7y = -6 + -11 Combine like terms: -6 + -11 = -17 5x + -7y = -17 Add '7y' to each side of the equation. 5x + -7y + 7y = -17 + 7y Combine like terms: -7y + 7y = 0 5x + 0 = -17 + 7y 5x = -17 + 7y Divide each side by '5'. x = -3.4 + 1.4y Simplifying x = -3.4 + 1.4y
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