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Simplifying 3(2x + 5) = 5x + 43 + -3x Reorder the terms: 3(5 + 2x) = 5x + 43 + -3x (5 * 3 + 2x * 3) = 5x + 43 + -3x (15 + 6x) = 5x + 43 + -3x Reorder the terms: 15 + 6x = 43 + 5x + -3x Combine like terms: 5x + -3x = 2x 15 + 6x = 43 + 2x Solving 15 + 6x = 43 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 6x + -2x = 43 + 2x + -2x Combine like terms: 6x + -2x = 4x 15 + 4x = 43 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 4x = 43 + 0 15 + 4x = 43 Add '-15' to each side of the equation. 15 + -15 + 4x = 43 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 43 + -15 4x = 43 + -15 Combine like terms: 43 + -15 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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