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Simplifying 4x + -3 + 3(2x + -3) = 5x + -2(x + -1) Reorder the terms: 4x + -3 + 3(-3 + 2x) = 5x + -2(x + -1) 4x + -3 + (-3 * 3 + 2x * 3) = 5x + -2(x + -1) 4x + -3 + (-9 + 6x) = 5x + -2(x + -1) Reorder the terms: -3 + -9 + 4x + 6x = 5x + -2(x + -1) Combine like terms: -3 + -9 = -12 -12 + 4x + 6x = 5x + -2(x + -1) Combine like terms: 4x + 6x = 10x -12 + 10x = 5x + -2(x + -1) Reorder the terms: -12 + 10x = 5x + -2(-1 + x) -12 + 10x = 5x + (-1 * -2 + x * -2) -12 + 10x = 5x + (2 + -2x) Reorder the terms: -12 + 10x = 2 + 5x + -2x Combine like terms: 5x + -2x = 3x -12 + 10x = 2 + 3x Solving -12 + 10x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 10x + -3x = 2 + 3x + -3x Combine like terms: 10x + -3x = 7x -12 + 7x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 7x = 2 + 0 -12 + 7x = 2 Add '12' to each side of the equation. -12 + 12 + 7x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 2 + 12 7x = 2 + 12 Combine like terms: 2 + 12 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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