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Simplifying 4(2x + 8) + -3x + -7 = -2x + 3y + -8 Reorder the terms: 4(8 + 2x) + -3x + -7 = -2x + 3y + -8 (8 * 4 + 2x * 4) + -3x + -7 = -2x + 3y + -8 (32 + 8x) + -3x + -7 = -2x + 3y + -8 Reorder the terms: 32 + -7 + 8x + -3x = -2x + 3y + -8 Combine like terms: 32 + -7 = 25 25 + 8x + -3x = -2x + 3y + -8 Combine like terms: 8x + -3x = 5x 25 + 5x = -2x + 3y + -8 Reorder the terms: 25 + 5x = -8 + -2x + 3y Solving 25 + 5x = -8 + -2x + 3y 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. 25 + 5x + 2x = -8 + -2x + 2x + 3y Combine like terms: 5x + 2x = 7x 25 + 7x = -8 + -2x + 2x + 3y Combine like terms: -2x + 2x = 0 25 + 7x = -8 + 0 + 3y 25 + 7x = -8 + 3y Add '-25' to each side of the equation. 25 + -25 + 7x = -8 + -25 + 3y Combine like terms: 25 + -25 = 0 0 + 7x = -8 + -25 + 3y 7x = -8 + -25 + 3y Combine like terms: -8 + -25 = -33 7x = -33 + 3y Divide each side by '7'. x = -4.714285714 + 0.4285714286y Simplifying x = -4.714285714 + 0.4285714286y
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