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Simplifying -7(4x + 3) + 6x = 45 Reorder the terms: -7(3 + 4x) + 6x = 45 (3 * -7 + 4x * -7) + 6x = 45 (-21 + -28x) + 6x = 45 Combine like terms: -28x + 6x = -22x -21 + -22x = 45 Solving -21 + -22x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -22x = 45 + 21 Combine like terms: -21 + 21 = 0 0 + -22x = 45 + 21 -22x = 45 + 21 Combine like terms: 45 + 21 = 66 -22x = 66 Divide each side by '-22'. x = -3 Simplifying x = -3
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