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Simplifying 4(3x + -2) = 3x + 7 Reorder the terms: 4(-2 + 3x) = 3x + 7 (-2 * 4 + 3x * 4) = 3x + 7 (-8 + 12x) = 3x + 7 Reorder the terms: -8 + 12x = 7 + 3x Solving -8 + 12x = 7 + 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. -8 + 12x + -3x = 7 + 3x + -3x Combine like terms: 12x + -3x = 9x -8 + 9x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 9x = 7 + 0 -8 + 9x = 7 Add '8' to each side of the equation. -8 + 8 + 9x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 7 + 8 9x = 7 + 8 Combine like terms: 7 + 8 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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