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Simplifying 3x + -2(5x + 3) = 7x + -4 Reorder the terms: 3x + -2(3 + 5x) = 7x + -4 3x + (3 * -2 + 5x * -2) = 7x + -4 3x + (-6 + -10x) = 7x + -4 Reorder the terms: -6 + 3x + -10x = 7x + -4 Combine like terms: 3x + -10x = -7x -6 + -7x = 7x + -4 Reorder the terms: -6 + -7x = -4 + 7x Solving -6 + -7x = -4 + 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. -6 + -7x + -7x = -4 + 7x + -7x Combine like terms: -7x + -7x = -14x -6 + -14x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -14x = -4 + 0 -6 + -14x = -4 Add '6' to each side of the equation. -6 + 6 + -14x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + -14x = -4 + 6 -14x = -4 + 6 Combine like terms: -4 + 6 = 2 -14x = 2 Divide each side by '-14'. x = -0.1428571429 Simplifying x = -0.1428571429
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