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Simplifying 4(3x + -1) + -2 = -3x + 3(2x + -5) Reorder the terms: 4(-1 + 3x) + -2 = -3x + 3(2x + -5) (-1 * 4 + 3x * 4) + -2 = -3x + 3(2x + -5) (-4 + 12x) + -2 = -3x + 3(2x + -5) Reorder the terms: -4 + -2 + 12x = -3x + 3(2x + -5) Combine like terms: -4 + -2 = -6 -6 + 12x = -3x + 3(2x + -5) Reorder the terms: -6 + 12x = -3x + 3(-5 + 2x) -6 + 12x = -3x + (-5 * 3 + 2x * 3) -6 + 12x = -3x + (-15 + 6x) Reorder the terms: -6 + 12x = -15 + -3x + 6x Combine like terms: -3x + 6x = 3x -6 + 12x = -15 + 3x Solving -6 + 12x = -15 + 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. -6 + 12x + -3x = -15 + 3x + -3x Combine like terms: 12x + -3x = 9x -6 + 9x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 9x = -15 + 0 -6 + 9x = -15 Add '6' to each side of the equation. -6 + 6 + 9x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -15 + 6 9x = -15 + 6 Combine like terms: -15 + 6 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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