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Simplifying 3(x + -2) + -1x(2 + 3) = 3(2x + 6) Reorder the terms: 3(-2 + x) + -1x(2 + 3) = 3(2x + 6) (-2 * 3 + x * 3) + -1x(2 + 3) = 3(2x + 6) (-6 + 3x) + -1x(2 + 3) = 3(2x + 6) Combine like terms: 2 + 3 = 5 -6 + 3x + -1x(5) = 3(2x + 6) Reorder the terms for easier multiplication: -6 + 3x + -1 * 5x = 3(2x + 6) Multiply -1 * 5 -6 + 3x + -5x = 3(2x + 6) Combine like terms: 3x + -5x = -2x -6 + -2x = 3(2x + 6) Reorder the terms: -6 + -2x = 3(6 + 2x) -6 + -2x = (6 * 3 + 2x * 3) -6 + -2x = (18 + 6x) Solving -6 + -2x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + -2x + -6x = 18 + 6x + -6x Combine like terms: -2x + -6x = -8x -6 + -8x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -8x = 18 + 0 -6 + -8x = 18 Add '6' to each side of the equation. -6 + 6 + -8x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 18 + 6 -8x = 18 + 6 Combine like terms: 18 + 6 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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