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Simplifying 4x + 3(2x + -3) = -1(3 + -4x) + 5 Reorder the terms: 4x + 3(-3 + 2x) = -1(3 + -4x) + 5 4x + (-3 * 3 + 2x * 3) = -1(3 + -4x) + 5 4x + (-9 + 6x) = -1(3 + -4x) + 5 Reorder the terms: -9 + 4x + 6x = -1(3 + -4x) + 5 Combine like terms: 4x + 6x = 10x -9 + 10x = -1(3 + -4x) + 5 -9 + 10x = (3 * -1 + -4x * -1) + 5 -9 + 10x = (-3 + 4x) + 5 Reorder the terms: -9 + 10x = -3 + 5 + 4x Combine like terms: -3 + 5 = 2 -9 + 10x = 2 + 4x Solving -9 + 10x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 10x + -4x = 2 + 4x + -4x Combine like terms: 10x + -4x = 6x -9 + 6x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 6x = 2 + 0 -9 + 6x = 2 Add '9' to each side of the equation. -9 + 9 + 6x = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = 2 + 9 6x = 2 + 9 Combine like terms: 2 + 9 = 11 6x = 11 Divide each side by '6'. x = 1.833333333 Simplifying x = 1.833333333
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