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Simplifying 7(4x + -1) + -3(5x + -7) = 12x + 9 Reorder the terms: 7(-1 + 4x) + -3(5x + -7) = 12x + 9 (-1 * 7 + 4x * 7) + -3(5x + -7) = 12x + 9 (-7 + 28x) + -3(5x + -7) = 12x + 9 Reorder the terms: -7 + 28x + -3(-7 + 5x) = 12x + 9 -7 + 28x + (-7 * -3 + 5x * -3) = 12x + 9 -7 + 28x + (21 + -15x) = 12x + 9 Reorder the terms: -7 + 21 + 28x + -15x = 12x + 9 Combine like terms: -7 + 21 = 14 14 + 28x + -15x = 12x + 9 Combine like terms: 28x + -15x = 13x 14 + 13x = 12x + 9 Reorder the terms: 14 + 13x = 9 + 12x Solving 14 + 13x = 9 + 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. 14 + 13x + -12x = 9 + 12x + -12x Combine like terms: 13x + -12x = 1x 14 + 1x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + 1x = 9 + 0 14 + 1x = 9 Add '-14' to each side of the equation. 14 + -14 + 1x = 9 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 9 + -14 1x = 9 + -14 Combine like terms: 9 + -14 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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