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Simplifying 48 + -1(6x + 7) = 2(x + 7) + x Reorder the terms: 48 + -1(7 + 6x) = 2(x + 7) + x 48 + (7 * -1 + 6x * -1) = 2(x + 7) + x 48 + (-7 + -6x) = 2(x + 7) + x Combine like terms: 48 + -7 = 41 41 + -6x = 2(x + 7) + x Reorder the terms: 41 + -6x = 2(7 + x) + x 41 + -6x = (7 * 2 + x * 2) + x 41 + -6x = (14 + 2x) + x Combine like terms: 2x + x = 3x 41 + -6x = 14 + 3x Solving 41 + -6x = 14 + 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 + -6x + -3x = 14 + 3x + -3x Combine like terms: -6x + -3x = -9x 41 + -9x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 41 + -9x = 14 + 0 41 + -9x = 14 Add '-41' to each side of the equation. 41 + -41 + -9x = 14 + -41 Combine like terms: 41 + -41 = 0 0 + -9x = 14 + -41 -9x = 14 + -41 Combine like terms: 14 + -41 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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