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Simplifying 5(x + -7) + 3 = -3(x + 8) Reorder the terms: 5(-7 + x) + 3 = -3(x + 8) (-7 * 5 + x * 5) + 3 = -3(x + 8) (-35 + 5x) + 3 = -3(x + 8) Reorder the terms: -35 + 3 + 5x = -3(x + 8) Combine like terms: -35 + 3 = -32 -32 + 5x = -3(x + 8) Reorder the terms: -32 + 5x = -3(8 + x) -32 + 5x = (8 * -3 + x * -3) -32 + 5x = (-24 + -3x) Solving -32 + 5x = -24 + -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 = -24 + -3x + 3x Combine like terms: 5x + 3x = 8x -32 + 8x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 -32 + 8x = -24 + 0 -32 + 8x = -24 Add '32' to each side of the equation. -32 + 32 + 8x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = -24 + 32 8x = -24 + 32 Combine like terms: -24 + 32 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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