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Simplifying 6x + -3(x + 2) = 3(x + -2) + -3(2x + -3) Reorder the terms: 6x + -3(2 + x) = 3(x + -2) + -3(2x + -3) 6x + (2 * -3 + x * -3) = 3(x + -2) + -3(2x + -3) 6x + (-6 + -3x) = 3(x + -2) + -3(2x + -3) Reorder the terms: -6 + 6x + -3x = 3(x + -2) + -3(2x + -3) Combine like terms: 6x + -3x = 3x -6 + 3x = 3(x + -2) + -3(2x + -3) Reorder the terms: -6 + 3x = 3(-2 + x) + -3(2x + -3) -6 + 3x = (-2 * 3 + x * 3) + -3(2x + -3) -6 + 3x = (-6 + 3x) + -3(2x + -3) Reorder the terms: -6 + 3x = -6 + 3x + -3(-3 + 2x) -6 + 3x = -6 + 3x + (-3 * -3 + 2x * -3) -6 + 3x = -6 + 3x + (9 + -6x) Reorder the terms: -6 + 3x = -6 + 9 + 3x + -6x Combine like terms: -6 + 9 = 3 -6 + 3x = 3 + 3x + -6x Combine like terms: 3x + -6x = -3x -6 + 3x = 3 + -3x Solving -6 + 3x = 3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 3x + 3x = 3 + -3x + 3x Combine like terms: 3x + 3x = 6x -6 + 6x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 6x = 3 + 0 -6 + 6x = 3 Add '6' to each side of the equation. -6 + 6 + 6x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 3 + 6 6x = 3 + 6 Combine like terms: 3 + 6 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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