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Simplifying 5(2x + 3) + -3(2x + 14) = 15 Reorder the terms: 5(3 + 2x) + -3(2x + 14) = 15 (3 * 5 + 2x * 5) + -3(2x + 14) = 15 (15 + 10x) + -3(2x + 14) = 15 Reorder the terms: 15 + 10x + -3(14 + 2x) = 15 15 + 10x + (14 * -3 + 2x * -3) = 15 15 + 10x + (-42 + -6x) = 15 Reorder the terms: 15 + -42 + 10x + -6x = 15 Combine like terms: 15 + -42 = -27 -27 + 10x + -6x = 15 Combine like terms: 10x + -6x = 4x -27 + 4x = 15 Solving -27 + 4x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 4x = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = 15 + 27 4x = 15 + 27 Combine like terms: 15 + 27 = 42 4x = 42 Divide each side by '4'. x = 10.5 Simplifying x = 10.5
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