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Simplifying 4(3x + -4(x + -2)) = x + -13 Reorder the terms: 4(3x + -4(-2 + x)) = x + -13 4(3x + (-2 * -4 + x * -4)) = x + -13 4(3x + (8 + -4x)) = x + -13 Reorder the terms: 4(8 + 3x + -4x) = x + -13 Combine like terms: 3x + -4x = -1x 4(8 + -1x) = x + -13 (8 * 4 + -1x * 4) = x + -13 (32 + -4x) = x + -13 Reorder the terms: 32 + -4x = -13 + x Solving 32 + -4x = -13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 32 + -4x + -1x = -13 + x + -1x Combine like terms: -4x + -1x = -5x 32 + -5x = -13 + x + -1x Combine like terms: x + -1x = 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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