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Simplifying 47 + -1(2x + 6) = 2(x + 3) + x Reorder the terms: 47 + -1(6 + 2x) = 2(x + 3) + x 47 + (6 * -1 + 2x * -1) = 2(x + 3) + x 47 + (-6 + -2x) = 2(x + 3) + x Combine like terms: 47 + -6 = 41 41 + -2x = 2(x + 3) + x Reorder the terms: 41 + -2x = 2(3 + x) + x 41 + -2x = (3 * 2 + x * 2) + x 41 + -2x = (6 + 2x) + x Combine like terms: 2x + x = 3x 41 + -2x = 6 + 3x Solving 41 + -2x = 6 + 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. 41 + -2x + -3x = 6 + 3x + -3x Combine like terms: -2x + -3x = -5x 41 + -5x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 41 + -5x = 6 + 0 41 + -5x = 6 Add '-41' to each side of the equation. 41 + -41 + -5x = 6 + -41 Combine like terms: 41 + -41 = 0 0 + -5x = 6 + -41 -5x = 6 + -41 Combine like terms: 6 + -41 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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