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Simplifying 8(x + -4) = 13(x + 1) Reorder the terms: 8(-4 + x) = 13(x + 1) (-4 * 8 + x * 8) = 13(x + 1) (-32 + 8x) = 13(x + 1) Reorder the terms: -32 + 8x = 13(1 + x) -32 + 8x = (1 * 13 + x * 13) -32 + 8x = (13 + 13x) Solving -32 + 8x = 13 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -32 + 8x + -13x = 13 + 13x + -13x Combine like terms: 8x + -13x = -5x -32 + -5x = 13 + 13x + -13x Combine like terms: 13x + -13x = 0 -32 + -5x = 13 + 0 -32 + -5x = 13 Add '32' to each side of the equation. -32 + 32 + -5x = 13 + 32 Combine like terms: -32 + 32 = 0 0 + -5x = 13 + 32 -5x = 13 + 32 Combine like terms: 13 + 32 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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