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Simplifying 6(2x + 5) + -3 = 12 + -1(x + 3) Reorder the terms: 6(5 + 2x) + -3 = 12 + -1(x + 3) (5 * 6 + 2x * 6) + -3 = 12 + -1(x + 3) (30 + 12x) + -3 = 12 + -1(x + 3) Reorder the terms: 30 + -3 + 12x = 12 + -1(x + 3) Combine like terms: 30 + -3 = 27 27 + 12x = 12 + -1(x + 3) Reorder the terms: 27 + 12x = 12 + -1(3 + x) 27 + 12x = 12 + (3 * -1 + x * -1) 27 + 12x = 12 + (-3 + -1x) Combine like terms: 12 + -3 = 9 27 + 12x = 9 + -1x Solving 27 + 12x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 27 + 12x + x = 9 + -1x + x Combine like terms: 12x + x = 13x 27 + 13x = 9 + -1x + x Combine like terms: -1x + x = 0 27 + 13x = 9 + 0 27 + 13x = 9 Add '-27' to each side of the equation. 27 + -27 + 13x = 9 + -27 Combine like terms: 27 + -27 = 0 0 + 13x = 9 + -27 13x = 9 + -27 Combine like terms: 9 + -27 = -18 13x = -18 Divide each side by '13'. x = -1.384615385 Simplifying x = -1.384615385
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