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Simplifying 13 + 3(2x + -5) = 1 + -2(3 + -6x) Reorder the terms: 13 + 3(-5 + 2x) = 1 + -2(3 + -6x) 13 + (-5 * 3 + 2x * 3) = 1 + -2(3 + -6x) 13 + (-15 + 6x) = 1 + -2(3 + -6x) Combine like terms: 13 + -15 = -2 -2 + 6x = 1 + -2(3 + -6x) -2 + 6x = 1 + (3 * -2 + -6x * -2) -2 + 6x = 1 + (-6 + 12x) Combine like terms: 1 + -6 = -5 -2 + 6x = -5 + 12x Solving -2 + 6x = -5 + 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. -2 + 6x + -12x = -5 + 12x + -12x Combine like terms: 6x + -12x = -6x -2 + -6x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -6x = -5 + 0 -2 + -6x = -5 Add '2' to each side of the equation. -2 + 2 + -6x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -5 + 2 -6x = -5 + 2 Combine like terms: -5 + 2 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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