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Simplifying 3x + -5(2x + -4) = 7x Reorder the terms: 3x + -5(-4 + 2x) = 7x 3x + (-4 * -5 + 2x * -5) = 7x 3x + (20 + -10x) = 7x Reorder the terms: 20 + 3x + -10x = 7x Combine like terms: 3x + -10x = -7x 20 + -7x = 7x Solving 20 + -7x = 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. 20 + -7x + -7x = 7x + -7x Combine like terms: -7x + -7x = -14x 20 + -14x = 7x + -7x Combine like terms: 7x + -7x = 0 20 + -14x = 0 Add '-20' to each side of the equation. 20 + -20 + -14x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -14x = 0 + -20 -14x = 0 + -20 Combine like terms: 0 + -20 = -20 -14x = -20 Divide each side by '-14'. x = 1.428571429 Simplifying x = 1.428571429
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