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Simplifying -5(2x + -9) + 6 = 4x + 3 Reorder the terms: -5(-9 + 2x) + 6 = 4x + 3 (-9 * -5 + 2x * -5) + 6 = 4x + 3 (45 + -10x) + 6 = 4x + 3 Reorder the terms: 45 + 6 + -10x = 4x + 3 Combine like terms: 45 + 6 = 51 51 + -10x = 4x + 3 Reorder the terms: 51 + -10x = 3 + 4x Solving 51 + -10x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 51 + -10x + -4x = 3 + 4x + -4x Combine like terms: -10x + -4x = -14x 51 + -14x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 51 + -14x = 3 + 0 51 + -14x = 3 Add '-51' to each side of the equation. 51 + -51 + -14x = 3 + -51 Combine like terms: 51 + -51 = 0 0 + -14x = 3 + -51 -14x = 3 + -51 Combine like terms: 3 + -51 = -48 -14x = -48 Divide each side by '-14'. x = 3.428571429 Simplifying x = 3.428571429
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