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Simplifying 9(x + -4) + -7x = 4(3x + 6) Reorder the terms: 9(-4 + x) + -7x = 4(3x + 6) (-4 * 9 + x * 9) + -7x = 4(3x + 6) (-36 + 9x) + -7x = 4(3x + 6) Combine like terms: 9x + -7x = 2x -36 + 2x = 4(3x + 6) Reorder the terms: -36 + 2x = 4(6 + 3x) -36 + 2x = (6 * 4 + 3x * 4) -36 + 2x = (24 + 12x) Solving -36 + 2x = 24 + 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. -36 + 2x + -12x = 24 + 12x + -12x Combine like terms: 2x + -12x = -10x -36 + -10x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -36 + -10x = 24 + 0 -36 + -10x = 24 Add '36' to each side of the equation. -36 + 36 + -10x = 24 + 36 Combine like terms: -36 + 36 = 0 0 + -10x = 24 + 36 -10x = 24 + 36 Combine like terms: 24 + 36 = 60 -10x = 60 Divide each side by '-10'. x = -6 Simplifying x = -6
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