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Simplifying 7x + -5(2x + -4) = -10x + 6 + -7x Reorder the terms: 7x + -5(-4 + 2x) = -10x + 6 + -7x 7x + (-4 * -5 + 2x * -5) = -10x + 6 + -7x 7x + (20 + -10x) = -10x + 6 + -7x Reorder the terms: 20 + 7x + -10x = -10x + 6 + -7x Combine like terms: 7x + -10x = -3x 20 + -3x = -10x + 6 + -7x Reorder the terms: 20 + -3x = 6 + -10x + -7x Combine like terms: -10x + -7x = -17x 20 + -3x = 6 + -17x Solving 20 + -3x = 6 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 20 + -3x + 17x = 6 + -17x + 17x Combine like terms: -3x + 17x = 14x 20 + 14x = 6 + -17x + 17x Combine like terms: -17x + 17x = 0 20 + 14x = 6 + 0 20 + 14x = 6 Add '-20' to each side of the equation. 20 + -20 + 14x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 14x = 6 + -20 14x = 6 + -20 Combine like terms: 6 + -20 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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