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Simplifying 5x + 5(-3x + -7) = -43 + -2x Reorder the terms: 5x + 5(-7 + -3x) = -43 + -2x 5x + (-7 * 5 + -3x * 5) = -43 + -2x 5x + (-35 + -15x) = -43 + -2x Reorder the terms: -35 + 5x + -15x = -43 + -2x Combine like terms: 5x + -15x = -10x -35 + -10x = -43 + -2x Solving -35 + -10x = -43 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -35 + -10x + 2x = -43 + -2x + 2x Combine like terms: -10x + 2x = -8x -35 + -8x = -43 + -2x + 2x Combine like terms: -2x + 2x = 0 -35 + -8x = -43 + 0 -35 + -8x = -43 Add '35' to each side of the equation. -35 + 35 + -8x = -43 + 35 Combine like terms: -35 + 35 = 0 0 + -8x = -43 + 35 -8x = -43 + 35 Combine like terms: -43 + 35 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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