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Simplifying 3 + 5(x + -7) = 6 + -3(x + -8) Reorder the terms: 3 + 5(-7 + x) = 6 + -3(x + -8) 3 + (-7 * 5 + x * 5) = 6 + -3(x + -8) 3 + (-35 + 5x) = 6 + -3(x + -8) Combine like terms: 3 + -35 = -32 -32 + 5x = 6 + -3(x + -8) Reorder the terms: -32 + 5x = 6 + -3(-8 + x) -32 + 5x = 6 + (-8 * -3 + x * -3) -32 + 5x = 6 + (24 + -3x) Combine like terms: 6 + 24 = 30 -32 + 5x = 30 + -3x Solving -32 + 5x = 30 + -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. -32 + 5x + 3x = 30 + -3x + 3x Combine like terms: 5x + 3x = 8x -32 + 8x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 -32 + 8x = 30 + 0 -32 + 8x = 30 Add '32' to each side of the equation. -32 + 32 + 8x = 30 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = 30 + 32 8x = 30 + 32 Combine like terms: 30 + 32 = 62 8x = 62 Divide each side by '8'. x = 7.75 Simplifying x = 7.75
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