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Simplifying 47x + -4(x + 2) = 13 + 2x Reorder the terms: 47x + -4(2 + x) = 13 + 2x 47x + (2 * -4 + x * -4) = 13 + 2x 47x + (-8 + -4x) = 13 + 2x Reorder the terms: -8 + 47x + -4x = 13 + 2x Combine like terms: 47x + -4x = 43x -8 + 43x = 13 + 2x Solving -8 + 43x = 13 + 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 + 43x + -2x = 13 + 2x + -2x Combine like terms: 43x + -2x = 41x -8 + 41x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 41x = 13 + 0 -8 + 41x = 13 Add '8' to each side of the equation. -8 + 8 + 41x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 41x = 13 + 8 41x = 13 + 8 Combine like terms: 13 + 8 = 21 41x = 21 Divide each side by '41'. x = 0.512195122 Simplifying x = 0.512195122
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