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Simplifying 2(3 + 5x) + 6 = 2 + -4(2 + -3x) (3 * 2 + 5x * 2) + 6 = 2 + -4(2 + -3x) (6 + 10x) + 6 = 2 + -4(2 + -3x) Reorder the terms: 6 + 6 + 10x = 2 + -4(2 + -3x) Combine like terms: 6 + 6 = 12 12 + 10x = 2 + -4(2 + -3x) 12 + 10x = 2 + (2 * -4 + -3x * -4) 12 + 10x = 2 + (-8 + 12x) Combine like terms: 2 + -8 = -6 12 + 10x = -6 + 12x Solving 12 + 10x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + 10x + -12x = -6 + 12x + -12x Combine like terms: 10x + -12x = -2x 12 + -2x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -2x = -6 + 0 12 + -2x = -6 Add '-12' to each side of the equation. 12 + -12 + -2x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -6 + -12 -2x = -6 + -12 Combine like terms: -6 + -12 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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