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Simplifying 5x + 3(x + 2) = 2x + 6(3x + -3) Reorder the terms: 5x + 3(2 + x) = 2x + 6(3x + -3) 5x + (2 * 3 + x * 3) = 2x + 6(3x + -3) 5x + (6 + 3x) = 2x + 6(3x + -3) Reorder the terms: 6 + 5x + 3x = 2x + 6(3x + -3) Combine like terms: 5x + 3x = 8x 6 + 8x = 2x + 6(3x + -3) Reorder the terms: 6 + 8x = 2x + 6(-3 + 3x) 6 + 8x = 2x + (-3 * 6 + 3x * 6) 6 + 8x = 2x + (-18 + 18x) Reorder the terms: 6 + 8x = -18 + 2x + 18x Combine like terms: 2x + 18x = 20x 6 + 8x = -18 + 20x Solving 6 + 8x = -18 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + 8x + -20x = -18 + 20x + -20x Combine like terms: 8x + -20x = -12x 6 + -12x = -18 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -12x = -18 + 0 6 + -12x = -18 Add '-6' to each side of the equation. 6 + -6 + -12x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -18 + -6 -12x = -18 + -6 Combine like terms: -18 + -6 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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