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Simplifying 4(3x + -2) + 3(x + -2) + -1 = 0 Reorder the terms: 4(-2 + 3x) + 3(x + -2) + -1 = 0 (-2 * 4 + 3x * 4) + 3(x + -2) + -1 = 0 (-8 + 12x) + 3(x + -2) + -1 = 0 Reorder the terms: -8 + 12x + 3(-2 + x) + -1 = 0 -8 + 12x + (-2 * 3 + x * 3) + -1 = 0 -8 + 12x + (-6 + 3x) + -1 = 0 Reorder the terms: -8 + -6 + -1 + 12x + 3x = 0 Combine like terms: -8 + -6 = -14 -14 + -1 + 12x + 3x = 0 Combine like terms: -14 + -1 = -15 -15 + 12x + 3x = 0 Combine like terms: 12x + 3x = 15x -15 + 15x = 0 Solving -15 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 15x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = 0 + 15 15x = 0 + 15 Combine like terms: 0 + 15 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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