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