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Simplifying 3x + -6 + 2x = 5(3x + -3) + 4 Reorder the terms: -6 + 3x + 2x = 5(3x + -3) + 4 Combine like terms: 3x + 2x = 5x -6 + 5x = 5(3x + -3) + 4 Reorder the terms: -6 + 5x = 5(-3 + 3x) + 4 -6 + 5x = (-3 * 5 + 3x * 5) + 4 -6 + 5x = (-15 + 15x) + 4 Reorder the terms: -6 + 5x = -15 + 4 + 15x Combine like terms: -15 + 4 = -11 -6 + 5x = -11 + 15x Solving -6 + 5x = -11 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -6 + 5x + -15x = -11 + 15x + -15x Combine like terms: 5x + -15x = -10x -6 + -10x = -11 + 15x + -15x Combine like terms: 15x + -15x = 0 -6 + -10x = -11 + 0 -6 + -10x = -11 Add '6' to each side of the equation. -6 + 6 + -10x = -11 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = -11 + 6 -10x = -11 + 6 Combine like terms: -11 + 6 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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