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Simplifying 83 + -2(x + 6) = x + 74 Reorder the terms: 83 + -2(6 + x) = x + 74 83 + (6 * -2 + x * -2) = x + 74 83 + (-12 + -2x) = x + 74 Combine like terms: 83 + -12 = 71 71 + -2x = x + 74 Reorder the terms: 71 + -2x = 74 + x Solving 71 + -2x = 74 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 71 + -2x + -1x = 74 + x + -1x Combine like terms: -2x + -1x = -3x 71 + -3x = 74 + x + -1x Combine like terms: x + -1x = 0 71 + -3x = 74 + 0 71 + -3x = 74 Add '-71' to each side of the equation. 71 + -71 + -3x = 74 + -71 Combine like terms: 71 + -71 = 0 0 + -3x = 74 + -71 -3x = 74 + -71 Combine like terms: 74 + -71 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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