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Simplifying 4(2 + x) + 3x = 43 + 10x + -8x (2 * 4 + x * 4) + 3x = 43 + 10x + -8x (8 + 4x) + 3x = 43 + 10x + -8x Combine like terms: 4x + 3x = 7x 8 + 7x = 43 + 10x + -8x Combine like terms: 10x + -8x = 2x 8 + 7x = 43 + 2x Solving 8 + 7x = 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. 8 + 7x + -2x = 43 + 2x + -2x Combine like terms: 7x + -2x = 5x 8 + 5x = 43 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 5x = 43 + 0 8 + 5x = 43 Add '-8' to each side of the equation. 8 + -8 + 5x = 43 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 43 + -8 5x = 43 + -8 Combine like terms: 43 + -8 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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