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Simplifying 3x + -3(14 + x) = 12(3x + -7) 3x + (14 * -3 + x * -3) = 12(3x + -7) 3x + (-42 + -3x) = 12(3x + -7) Reorder the terms: -42 + 3x + -3x = 12(3x + -7) Combine like terms: 3x + -3x = 0 -42 + 0 = 12(3x + -7) -42 = 12(3x + -7) Reorder the terms: -42 = 12(-7 + 3x) -42 = (-7 * 12 + 3x * 12) -42 = (-84 + 36x) Solving -42 = -84 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -42 + -36x = -84 + 36x + -36x Combine like terms: 36x + -36x = 0 -42 + -36x = -84 + 0 -42 + -36x = -84 Add '42' to each side of the equation. -42 + 42 + -36x = -84 + 42 Combine like terms: -42 + 42 = 0 0 + -36x = -84 + 42 -36x = -84 + 42 Combine like terms: -84 + 42 = -42 -36x = -42 Divide each side by '-36'. x = 1.166666667 Simplifying x = 1.166666667
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