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Simplifying 3 + 4(-2x + 5) = 6x + 3 Reorder the terms: 3 + 4(5 + -2x) = 6x + 3 3 + (5 * 4 + -2x * 4) = 6x + 3 3 + (20 + -8x) = 6x + 3 Combine like terms: 3 + 20 = 23 23 + -8x = 6x + 3 Reorder the terms: 23 + -8x = 3 + 6x Solving 23 + -8x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 23 + -8x + -6x = 3 + 6x + -6x Combine like terms: -8x + -6x = -14x 23 + -14x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 23 + -14x = 3 + 0 23 + -14x = 3 Add '-23' to each side of the equation. 23 + -23 + -14x = 3 + -23 Combine like terms: 23 + -23 = 0 0 + -14x = 3 + -23 -14x = 3 + -23 Combine like terms: 3 + -23 = -20 -14x = -20 Divide each side by '-14'. x = 1.428571429 Simplifying x = 1.428571429
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