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Simplifying 2x + 6(-2x + -4) = -29 + -5x Reorder the terms: 2x + 6(-4 + -2x) = -29 + -5x 2x + (-4 * 6 + -2x * 6) = -29 + -5x 2x + (-24 + -12x) = -29 + -5x Reorder the terms: -24 + 2x + -12x = -29 + -5x Combine like terms: 2x + -12x = -10x -24 + -10x = -29 + -5x Solving -24 + -10x = -29 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -24 + -10x + 5x = -29 + -5x + 5x Combine like terms: -10x + 5x = -5x -24 + -5x = -29 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + -5x = -29 + 0 -24 + -5x = -29 Add '24' to each side of the equation. -24 + 24 + -5x = -29 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = -29 + 24 -5x = -29 + 24 Combine like terms: -29 + 24 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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