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Simplifying 5(x + -1) + -3(2x + 4) = 5x + -5 Reorder the terms: 5(-1 + x) + -3(2x + 4) = 5x + -5 (-1 * 5 + x * 5) + -3(2x + 4) = 5x + -5 (-5 + 5x) + -3(2x + 4) = 5x + -5 Reorder the terms: -5 + 5x + -3(4 + 2x) = 5x + -5 -5 + 5x + (4 * -3 + 2x * -3) = 5x + -5 -5 + 5x + (-12 + -6x) = 5x + -5 Reorder the terms: -5 + -12 + 5x + -6x = 5x + -5 Combine like terms: -5 + -12 = -17 -17 + 5x + -6x = 5x + -5 Combine like terms: 5x + -6x = -1x -17 + -1x = 5x + -5 Reorder the terms: -17 + -1x = -5 + 5x Solving -17 + -1x = -5 + 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. -17 + -1x + -5x = -5 + 5x + -5x Combine like terms: -1x + -5x = -6x -17 + -6x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + -6x = -5 + 0 -17 + -6x = -5 Add '17' to each side of the equation. -17 + 17 + -6x = -5 + 17 Combine like terms: -17 + 17 = 0 0 + -6x = -5 + 17 -6x = -5 + 17 Combine like terms: -5 + 17 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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