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Simplifying 12x + 2 + -3 = 10 + -1(x + -3) Reorder the terms: 2 + -3 + 12x = 10 + -1(x + -3) Combine like terms: 2 + -3 = -1 -1 + 12x = 10 + -1(x + -3) Reorder the terms: -1 + 12x = 10 + -1(-3 + x) -1 + 12x = 10 + (-3 * -1 + x * -1) -1 + 12x = 10 + (3 + -1x) Combine like terms: 10 + 3 = 13 -1 + 12x = 13 + -1x Solving -1 + 12x = 13 + -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. -1 + 12x + x = 13 + -1x + x Combine like terms: 12x + x = 13x -1 + 13x = 13 + -1x + x Combine like terms: -1x + x = 0 -1 + 13x = 13 + 0 -1 + 13x = 13 Add '1' to each side of the equation. -1 + 1 + 13x = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 13x = 13 + 1 13x = 13 + 1 Combine like terms: 13 + 1 = 14 13x = 14 Divide each side by '13'. x = 1.076923077 Simplifying x = 1.076923077
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