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Simplifying 3x + 4(-2x + -4) = -13 + -8x Reorder the terms: 3x + 4(-4 + -2x) = -13 + -8x 3x + (-4 * 4 + -2x * 4) = -13 + -8x 3x + (-16 + -8x) = -13 + -8x Reorder the terms: -16 + 3x + -8x = -13 + -8x Combine like terms: 3x + -8x = -5x -16 + -5x = -13 + -8x Solving -16 + -5x = -13 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -16 + -5x + 8x = -13 + -8x + 8x Combine like terms: -5x + 8x = 3x -16 + 3x = -13 + -8x + 8x Combine like terms: -8x + 8x = 0 -16 + 3x = -13 + 0 -16 + 3x = -13 Add '16' to each side of the equation. -16 + 16 + 3x = -13 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = -13 + 16 3x = -13 + 16 Combine like terms: -13 + 16 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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