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Simplifying 6x + -3 = -4(2x + 5) + 45 Reorder the terms: -3 + 6x = -4(2x + 5) + 45 Reorder the terms: -3 + 6x = -4(5 + 2x) + 45 -3 + 6x = (5 * -4 + 2x * -4) + 45 -3 + 6x = (-20 + -8x) + 45 Reorder the terms: -3 + 6x = -20 + 45 + -8x Combine like terms: -20 + 45 = 25 -3 + 6x = 25 + -8x Solving -3 + 6x = 25 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -3 + 6x + 8x = 25 + -8x + 8x Combine like terms: 6x + 8x = 14x -3 + 14x = 25 + -8x + 8x Combine like terms: -8x + 8x = 0 -3 + 14x = 25 + 0 -3 + 14x = 25 Add '3' to each side of the equation. -3 + 3 + 14x = 25 + 3 Combine like terms: -3 + 3 = 0 0 + 14x = 25 + 3 14x = 25 + 3 Combine like terms: 25 + 3 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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