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Simplifying 3x + 9x + -4 = 5 + 3(2x + -7) Reorder the terms: -4 + 3x + 9x = 5 + 3(2x + -7) Combine like terms: 3x + 9x = 12x -4 + 12x = 5 + 3(2x + -7) Reorder the terms: -4 + 12x = 5 + 3(-7 + 2x) -4 + 12x = 5 + (-7 * 3 + 2x * 3) -4 + 12x = 5 + (-21 + 6x) Combine like terms: 5 + -21 = -16 -4 + 12x = -16 + 6x Solving -4 + 12x = -16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 12x + -6x = -16 + 6x + -6x Combine like terms: 12x + -6x = 6x -4 + 6x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 6x = -16 + 0 -4 + 6x = -16 Add '4' to each side of the equation. -4 + 4 + 6x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = -16 + 4 6x = -16 + 4 Combine like terms: -16 + 4 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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