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Simplifying 4x + (x + -3) = 2x + -1(3x + -4) + 5 Reorder the terms: 4x + (-3 + x) = 2x + -1(3x + -4) + 5 Remove parenthesis around (-3 + x) 4x + -3 + x = 2x + -1(3x + -4) + 5 Reorder the terms: -3 + 4x + x = 2x + -1(3x + -4) + 5 Combine like terms: 4x + x = 5x -3 + 5x = 2x + -1(3x + -4) + 5 Reorder the terms: -3 + 5x = 2x + -1(-4 + 3x) + 5 -3 + 5x = 2x + (-4 * -1 + 3x * -1) + 5 -3 + 5x = 2x + (4 + -3x) + 5 Reorder the terms: -3 + 5x = 4 + 5 + 2x + -3x Combine like terms: 4 + 5 = 9 -3 + 5x = 9 + 2x + -3x Combine like terms: 2x + -3x = -1x -3 + 5x = 9 + -1x Solving -3 + 5x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + 5x + x = 9 + -1x + x Combine like terms: 5x + x = 6x -3 + 6x = 9 + -1x + x Combine like terms: -1x + x = 0 -3 + 6x = 9 + 0 -3 + 6x = 9 Add '3' to each side of the equation. -3 + 3 + 6x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 9 + 3 6x = 9 + 3 Combine like terms: 9 + 3 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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