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