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