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Simplifying 5x + 5(-2x + -6) = -29 + -6x Reorder the terms: 5x + 5(-6 + -2x) = -29 + -6x 5x + (-6 * 5 + -2x * 5) = -29 + -6x 5x + (-30 + -10x) = -29 + -6x Reorder the terms: -30 + 5x + -10x = -29 + -6x Combine like terms: 5x + -10x = -5x -30 + -5x = -29 + -6x Solving -30 + -5x = -29 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -30 + -5x + 6x = -29 + -6x + 6x Combine like terms: -5x + 6x = 1x -30 + 1x = -29 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 1x = -29 + 0 -30 + 1x = -29 Add '30' to each side of the equation. -30 + 30 + 1x = -29 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = -29 + 30 1x = -29 + 30 Combine like terms: -29 + 30 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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