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Simplifying 5(x + -6) + 7x = 3(3x + -4) Reorder the terms: 5(-6 + x) + 7x = 3(3x + -4) (-6 * 5 + x * 5) + 7x = 3(3x + -4) (-30 + 5x) + 7x = 3(3x + -4) Combine like terms: 5x + 7x = 12x -30 + 12x = 3(3x + -4) Reorder the terms: -30 + 12x = 3(-4 + 3x) -30 + 12x = (-4 * 3 + 3x * 3) -30 + 12x = (-12 + 9x) Solving -30 + 12x = -12 + 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. -30 + 12x + -9x = -12 + 9x + -9x Combine like terms: 12x + -9x = 3x -30 + 3x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -30 + 3x = -12 + 0 -30 + 3x = -12 Add '30' to each side of the equation. -30 + 30 + 3x = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -12 + 30 3x = -12 + 30 Combine like terms: -12 + 30 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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