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Simplifying 4(3x + -2) = 3(3x + -2) + 1 Reorder the terms: 4(-2 + 3x) = 3(3x + -2) + 1 (-2 * 4 + 3x * 4) = 3(3x + -2) + 1 (-8 + 12x) = 3(3x + -2) + 1 Reorder the terms: -8 + 12x = 3(-2 + 3x) + 1 -8 + 12x = (-2 * 3 + 3x * 3) + 1 -8 + 12x = (-6 + 9x) + 1 Reorder the terms: -8 + 12x = -6 + 1 + 9x Combine like terms: -6 + 1 = -5 -8 + 12x = -5 + 9x Solving -8 + 12x = -5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + 12x + -9x = -5 + 9x + -9x Combine like terms: 12x + -9x = 3x -8 + 3x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + 3x = -5 + 0 -8 + 3x = -5 Add '8' to each side of the equation. -8 + 8 + 3x = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -5 + 8 3x = -5 + 8 Combine like terms: -5 + 8 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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