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Simplifying 3(2x + 1) = 4(3x + -2) + 1 Reorder the terms: 3(1 + 2x) = 4(3x + -2) + 1 (1 * 3 + 2x * 3) = 4(3x + -2) + 1 (3 + 6x) = 4(3x + -2) + 1 Reorder the terms: 3 + 6x = 4(-2 + 3x) + 1 3 + 6x = (-2 * 4 + 3x * 4) + 1 3 + 6x = (-8 + 12x) + 1 Reorder the terms: 3 + 6x = -8 + 1 + 12x Combine like terms: -8 + 1 = -7 3 + 6x = -7 + 12x Solving 3 + 6x = -7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 6x + -12x = -7 + 12x + -12x Combine like terms: 6x + -12x = -6x 3 + -6x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -6x = -7 + 0 3 + -6x = -7 Add '-3' to each side of the equation. 3 + -3 + -6x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -7 + -3 -6x = -7 + -3 Combine like terms: -7 + -3 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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