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Simplifying -7(2x + -4) + 5x = 5(x + 6) Reorder the terms: -7(-4 + 2x) + 5x = 5(x + 6) (-4 * -7 + 2x * -7) + 5x = 5(x + 6) (28 + -14x) + 5x = 5(x + 6) Combine like terms: -14x + 5x = -9x 28 + -9x = 5(x + 6) Reorder the terms: 28 + -9x = 5(6 + x) 28 + -9x = (6 * 5 + x * 5) 28 + -9x = (30 + 5x) Solving 28 + -9x = 30 + 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. 28 + -9x + -5x = 30 + 5x + -5x Combine like terms: -9x + -5x = -14x 28 + -14x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 28 + -14x = 30 + 0 28 + -14x = 30 Add '-28' to each side of the equation. 28 + -28 + -14x = 30 + -28 Combine like terms: 28 + -28 = 0 0 + -14x = 30 + -28 -14x = 30 + -28 Combine like terms: 30 + -28 = 2 -14x = 2 Divide each side by '-14'. x = -0.1428571429 Simplifying x = -0.1428571429
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