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Simplifying 4(2x + -9) = 43 + -2(x + 3) Reorder the terms: 4(-9 + 2x) = 43 + -2(x + 3) (-9 * 4 + 2x * 4) = 43 + -2(x + 3) (-36 + 8x) = 43 + -2(x + 3) Reorder the terms: -36 + 8x = 43 + -2(3 + x) -36 + 8x = 43 + (3 * -2 + x * -2) -36 + 8x = 43 + (-6 + -2x) Combine like terms: 43 + -6 = 37 -36 + 8x = 37 + -2x Solving -36 + 8x = 37 + -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. -36 + 8x + 2x = 37 + -2x + 2x Combine like terms: 8x + 2x = 10x -36 + 10x = 37 + -2x + 2x Combine like terms: -2x + 2x = 0 -36 + 10x = 37 + 0 -36 + 10x = 37 Add '36' to each side of the equation. -36 + 36 + 10x = 37 + 36 Combine like terms: -36 + 36 = 0 0 + 10x = 37 + 36 10x = 37 + 36 Combine like terms: 37 + 36 = 73 10x = 73 Divide each side by '10'. x = 7.3 Simplifying x = 7.3
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