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Simplifying 3(x + -1) + -2(2 + -3x) = 5x + -3 Reorder the terms: 3(-1 + x) + -2(2 + -3x) = 5x + -3 (-1 * 3 + x * 3) + -2(2 + -3x) = 5x + -3 (-3 + 3x) + -2(2 + -3x) = 5x + -3 -3 + 3x + (2 * -2 + -3x * -2) = 5x + -3 -3 + 3x + (-4 + 6x) = 5x + -3 Reorder the terms: -3 + -4 + 3x + 6x = 5x + -3 Combine like terms: -3 + -4 = -7 -7 + 3x + 6x = 5x + -3 Combine like terms: 3x + 6x = 9x -7 + 9x = 5x + -3 Reorder the terms: -7 + 9x = -3 + 5x Solving -7 + 9x = -3 + 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. -7 + 9x + -5x = -3 + 5x + -5x Combine like terms: 9x + -5x = 4x -7 + 4x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 4x = -3 + 0 -7 + 4x = -3 Add '7' to each side of the equation. -7 + 7 + 4x = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = -3 + 7 4x = -3 + 7 Combine like terms: -3 + 7 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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