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Simplifying 2x + 43 = 3(5x + -3) Reorder the terms: 43 + 2x = 3(5x + -3) Reorder the terms: 43 + 2x = 3(-3 + 5x) 43 + 2x = (-3 * 3 + 5x * 3) 43 + 2x = (-9 + 15x) Solving 43 + 2x = -9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 43 + 2x + -15x = -9 + 15x + -15x Combine like terms: 2x + -15x = -13x 43 + -13x = -9 + 15x + -15x Combine like terms: 15x + -15x = 0 43 + -13x = -9 + 0 43 + -13x = -9 Add '-43' to each side of the equation. 43 + -43 + -13x = -9 + -43 Combine like terms: 43 + -43 = 0 0 + -13x = -9 + -43 -13x = -9 + -43 Combine like terms: -9 + -43 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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