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Simplifying 1 + 3(5x + -7) = (3x + -12) Reorder the terms: 1 + 3(-7 + 5x) = (3x + -12) 1 + (-7 * 3 + 5x * 3) = (3x + -12) 1 + (-21 + 15x) = (3x + -12) Combine like terms: 1 + -21 = -20 -20 + 15x = (3x + -12) Reorder the terms: -20 + 15x = (-12 + 3x) Remove parenthesis around (-12 + 3x) -20 + 15x = -12 + 3x Solving -20 + 15x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + 15x + -3x = -12 + 3x + -3x Combine like terms: 15x + -3x = 12x -20 + 12x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 12x = -12 + 0 -20 + 12x = -12 Add '20' to each side of the equation. -20 + 20 + 12x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = -12 + 20 12x = -12 + 20 Combine like terms: -12 + 20 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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