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Simplifying 8(x + -4) = -4(x + -13) Reorder the terms: 8(-4 + x) = -4(x + -13) (-4 * 8 + x * 8) = -4(x + -13) (-32 + 8x) = -4(x + -13) Reorder the terms: -32 + 8x = -4(-13 + x) -32 + 8x = (-13 * -4 + x * -4) -32 + 8x = (52 + -4x) Solving -32 + 8x = 52 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -32 + 8x + 4x = 52 + -4x + 4x Combine like terms: 8x + 4x = 12x -32 + 12x = 52 + -4x + 4x Combine like terms: -4x + 4x = 0 -32 + 12x = 52 + 0 -32 + 12x = 52 Add '32' to each side of the equation. -32 + 32 + 12x = 52 + 32 Combine like terms: -32 + 32 = 0 0 + 12x = 52 + 32 12x = 52 + 32 Combine like terms: 52 + 32 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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