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Simplifying 109 + -1(6x + 13) = 6(x + 3) + 3 Reorder the terms: 109 + -1(13 + 6x) = 6(x + 3) + 3 109 + (13 * -1 + 6x * -1) = 6(x + 3) + 3 109 + (-13 + -6x) = 6(x + 3) + 3 Combine like terms: 109 + -13 = 96 96 + -6x = 6(x + 3) + 3 Reorder the terms: 96 + -6x = 6(3 + x) + 3 96 + -6x = (3 * 6 + x * 6) + 3 96 + -6x = (18 + 6x) + 3 Reorder the terms: 96 + -6x = 18 + 3 + 6x Combine like terms: 18 + 3 = 21 96 + -6x = 21 + 6x Solving 96 + -6x = 21 + 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. 96 + -6x + -6x = 21 + 6x + -6x Combine like terms: -6x + -6x = -12x 96 + -12x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 96 + -12x = 21 + 0 96 + -12x = 21 Add '-96' to each side of the equation. 96 + -96 + -12x = 21 + -96 Combine like terms: 96 + -96 = 0 0 + -12x = 21 + -96 -12x = 21 + -96 Combine like terms: 21 + -96 = -75 -12x = -75 Divide each side by '-12'. x = 6.25 Simplifying x = 6.25
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