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Simplifying 5(2x + -3) + 6 = 43 + -3x Reorder the terms: 5(-3 + 2x) + 6 = 43 + -3x (-3 * 5 + 2x * 5) + 6 = 43 + -3x (-15 + 10x) + 6 = 43 + -3x Reorder the terms: -15 + 6 + 10x = 43 + -3x Combine like terms: -15 + 6 = -9 -9 + 10x = 43 + -3x Solving -9 + 10x = 43 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -9 + 10x + 3x = 43 + -3x + 3x Combine like terms: 10x + 3x = 13x -9 + 13x = 43 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 13x = 43 + 0 -9 + 13x = 43 Add '9' to each side of the equation. -9 + 9 + 13x = 43 + 9 Combine like terms: -9 + 9 = 0 0 + 13x = 43 + 9 13x = 43 + 9 Combine like terms: 43 + 9 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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