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Simplifying 5(x + -1) + 4(x + -3) = 5(x + -1) Reorder the terms: 5(-1 + x) + 4(x + -3) = 5(x + -1) (-1 * 5 + x * 5) + 4(x + -3) = 5(x + -1) (-5 + 5x) + 4(x + -3) = 5(x + -1) Reorder the terms: -5 + 5x + 4(-3 + x) = 5(x + -1) -5 + 5x + (-3 * 4 + x * 4) = 5(x + -1) -5 + 5x + (-12 + 4x) = 5(x + -1) Reorder the terms: -5 + -12 + 5x + 4x = 5(x + -1) Combine like terms: -5 + -12 = -17 -17 + 5x + 4x = 5(x + -1) Combine like terms: 5x + 4x = 9x -17 + 9x = 5(x + -1) Reorder the terms: -17 + 9x = 5(-1 + x) -17 + 9x = (-1 * 5 + x * 5) -17 + 9x = (-5 + 5x) Solving -17 + 9x = -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 + 9x + -5x = -5 + 5x + -5x Combine like terms: 9x + -5x = 4x -17 + 4x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + 4x = -5 + 0 -17 + 4x = -5 Add '17' to each side of the equation. -17 + 17 + 4x = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = -5 + 17 4x = -5 + 17 Combine like terms: -5 + 17 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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