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Simplifying 3(4x + -3) + -7 = 5x + -9 Reorder the terms: 3(-3 + 4x) + -7 = 5x + -9 (-3 * 3 + 4x * 3) + -7 = 5x + -9 (-9 + 12x) + -7 = 5x + -9 Reorder the terms: -9 + -7 + 12x = 5x + -9 Combine like terms: -9 + -7 = -16 -16 + 12x = 5x + -9 Reorder the terms: -16 + 12x = -9 + 5x Solving -16 + 12x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 12x + -5x = -9 + 5x + -5x Combine like terms: 12x + -5x = 7x -16 + 7x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 7x = -9 + 0 -16 + 7x = -9 Add '16' to each side of the equation. -16 + 16 + 7x = -9 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = -9 + 16 7x = -9 + 16 Combine like terms: -9 + 16 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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