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Simplifying 6(2x + 3) + -2(x + 6) = 2(3x + -5) Reorder the terms: 6(3 + 2x) + -2(x + 6) = 2(3x + -5) (3 * 6 + 2x * 6) + -2(x + 6) = 2(3x + -5) (18 + 12x) + -2(x + 6) = 2(3x + -5) Reorder the terms: 18 + 12x + -2(6 + x) = 2(3x + -5) 18 + 12x + (6 * -2 + x * -2) = 2(3x + -5) 18 + 12x + (-12 + -2x) = 2(3x + -5) Reorder the terms: 18 + -12 + 12x + -2x = 2(3x + -5) Combine like terms: 18 + -12 = 6 6 + 12x + -2x = 2(3x + -5) Combine like terms: 12x + -2x = 10x 6 + 10x = 2(3x + -5) Reorder the terms: 6 + 10x = 2(-5 + 3x) 6 + 10x = (-5 * 2 + 3x * 2) 6 + 10x = (-10 + 6x) Solving 6 + 10x = -10 + 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 + 10x + -6x = -10 + 6x + -6x Combine like terms: 10x + -6x = 4x 6 + 4x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 4x = -10 + 0 6 + 4x = -10 Add '-6' to each side of the equation. 6 + -6 + 4x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -10 + -6 4x = -10 + -6 Combine like terms: -10 + -6 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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