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Simplifying -5(x + 3) + -4x = 6(2x + 3) + -12 Reorder the terms: -5(3 + x) + -4x = 6(2x + 3) + -12 (3 * -5 + x * -5) + -4x = 6(2x + 3) + -12 (-15 + -5x) + -4x = 6(2x + 3) + -12 Combine like terms: -5x + -4x = -9x -15 + -9x = 6(2x + 3) + -12 Reorder the terms: -15 + -9x = 6(3 + 2x) + -12 -15 + -9x = (3 * 6 + 2x * 6) + -12 -15 + -9x = (18 + 12x) + -12 Reorder the terms: -15 + -9x = 18 + -12 + 12x Combine like terms: 18 + -12 = 6 -15 + -9x = 6 + 12x Solving -15 + -9x = 6 + 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. -15 + -9x + -12x = 6 + 12x + -12x Combine like terms: -9x + -12x = -21x -15 + -21x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -21x = 6 + 0 -15 + -21x = 6 Add '15' to each side of the equation. -15 + 15 + -21x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -21x = 6 + 15 -21x = 6 + 15 Combine like terms: 6 + 15 = 21 -21x = 21 Divide each side by '-21'. x = -1 Simplifying x = -1
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