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Simplifying 5 + -4x + 4 + -1x = 3(x + -3) + -5(-4x + 2) Reorder the terms: 5 + 4 + -4x + -1x = 3(x + -3) + -5(-4x + 2) Combine like terms: 5 + 4 = 9 9 + -4x + -1x = 3(x + -3) + -5(-4x + 2) Combine like terms: -4x + -1x = -5x 9 + -5x = 3(x + -3) + -5(-4x + 2) Reorder the terms: 9 + -5x = 3(-3 + x) + -5(-4x + 2) 9 + -5x = (-3 * 3 + x * 3) + -5(-4x + 2) 9 + -5x = (-9 + 3x) + -5(-4x + 2) Reorder the terms: 9 + -5x = -9 + 3x + -5(2 + -4x) 9 + -5x = -9 + 3x + (2 * -5 + -4x * -5) 9 + -5x = -9 + 3x + (-10 + 20x) Reorder the terms: 9 + -5x = -9 + -10 + 3x + 20x Combine like terms: -9 + -10 = -19 9 + -5x = -19 + 3x + 20x Combine like terms: 3x + 20x = 23x 9 + -5x = -19 + 23x Solving 9 + -5x = -19 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 9 + -5x + -23x = -19 + 23x + -23x Combine like terms: -5x + -23x = -28x 9 + -28x = -19 + 23x + -23x Combine like terms: 23x + -23x = 0 9 + -28x = -19 + 0 9 + -28x = -19 Add '-9' to each side of the equation. 9 + -9 + -28x = -19 + -9 Combine like terms: 9 + -9 = 0 0 + -28x = -19 + -9 -28x = -19 + -9 Combine like terms: -19 + -9 = -28 -28x = -28 Divide each side by '-28'. x = 1 Simplifying x = 1
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