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Simplifying 61 + -1(3x + 14) = 3(x + 4) + 4 Reorder the terms: 61 + -1(14 + 3x) = 3(x + 4) + 4 61 + (14 * -1 + 3x * -1) = 3(x + 4) + 4 61 + (-14 + -3x) = 3(x + 4) + 4 Combine like terms: 61 + -14 = 47 47 + -3x = 3(x + 4) + 4 Reorder the terms: 47 + -3x = 3(4 + x) + 4 47 + -3x = (4 * 3 + x * 3) + 4 47 + -3x = (12 + 3x) + 4 Reorder the terms: 47 + -3x = 12 + 4 + 3x Combine like terms: 12 + 4 = 16 47 + -3x = 16 + 3x Solving 47 + -3x = 16 + 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. 47 + -3x + -3x = 16 + 3x + -3x Combine like terms: -3x + -3x = -6x 47 + -6x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 47 + -6x = 16 + 0 47 + -6x = 16 Add '-47' to each side of the equation. 47 + -47 + -6x = 16 + -47 Combine like terms: 47 + -47 = 0 0 + -6x = 16 + -47 -6x = 16 + -47 Combine like terms: 16 + -47 = -31 -6x = -31 Divide each side by '-6'. x = 5.166666667 Simplifying x = 5.166666667
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