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Simplifying 8(x + -4) = 3(x + 1) Reorder the terms: 8(-4 + x) = 3(x + 1) (-4 * 8 + x * 8) = 3(x + 1) (-32 + 8x) = 3(x + 1) Reorder the terms: -32 + 8x = 3(1 + x) -32 + 8x = (1 * 3 + x * 3) -32 + 8x = (3 + 3x) Solving -32 + 8x = 3 + 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 + 8x + -3x = 3 + 3x + -3x Combine like terms: 8x + -3x = 5x -32 + 5x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + 5x = 3 + 0 -32 + 5x = 3 Add '32' to each side of the equation. -32 + 32 + 5x = 3 + 32 Combine like terms: -32 + 32 = 0 0 + 5x = 3 + 32 5x = 3 + 32 Combine like terms: 3 + 32 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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