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Simplifying 5(2x + -3) = 3(8x + 1) + 4 Reorder the terms: 5(-3 + 2x) = 3(8x + 1) + 4 (-3 * 5 + 2x * 5) = 3(8x + 1) + 4 (-15 + 10x) = 3(8x + 1) + 4 Reorder the terms: -15 + 10x = 3(1 + 8x) + 4 -15 + 10x = (1 * 3 + 8x * 3) + 4 -15 + 10x = (3 + 24x) + 4 Reorder the terms: -15 + 10x = 3 + 4 + 24x Combine like terms: 3 + 4 = 7 -15 + 10x = 7 + 24x Solving -15 + 10x = 7 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -15 + 10x + -24x = 7 + 24x + -24x Combine like terms: 10x + -24x = -14x -15 + -14x = 7 + 24x + -24x Combine like terms: 24x + -24x = 0 -15 + -14x = 7 + 0 -15 + -14x = 7 Add '15' to each side of the equation. -15 + 15 + -14x = 7 + 15 Combine like terms: -15 + 15 = 0 0 + -14x = 7 + 15 -14x = 7 + 15 Combine like terms: 7 + 15 = 22 -14x = 22 Divide each side by '-14'. x = -1.571428571 Simplifying x = -1.571428571
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