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Simplifying -4(3x + -3) + 5x = 7(x + 2) Reorder the terms: -4(-3 + 3x) + 5x = 7(x + 2) (-3 * -4 + 3x * -4) + 5x = 7(x + 2) (12 + -12x) + 5x = 7(x + 2) Combine like terms: -12x + 5x = -7x 12 + -7x = 7(x + 2) Reorder the terms: 12 + -7x = 7(2 + x) 12 + -7x = (2 * 7 + x * 7) 12 + -7x = (14 + 7x) Solving 12 + -7x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + -7x + -7x = 14 + 7x + -7x Combine like terms: -7x + -7x = -14x 12 + -14x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -14x = 14 + 0 12 + -14x = 14 Add '-12' to each side of the equation. 12 + -12 + -14x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = 14 + -12 -14x = 14 + -12 Combine like terms: 14 + -12 = 2 -14x = 2 Divide each side by '-14'. x = -0.1428571429 Simplifying x = -0.1428571429
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