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Simplifying 51 + -147 + -1(3x + -2) = 12 + -1(14 + 13) + 16 Reorder the terms: 51 + -147 + -1(-2 + 3x) = 12 + -1(14 + 13) + 16 51 + -147 + (-2 * -1 + 3x * -1) = 12 + -1(14 + 13) + 16 51 + -147 + (2 + -3x) = 12 + -1(14 + 13) + 16 Combine like terms: 51 + -147 = -96 -96 + 2 + -3x = 12 + -1(14 + 13) + 16 Combine like terms: -96 + 2 = -94 -94 + -3x = 12 + -1(14 + 13) + 16 Combine like terms: 14 + 13 = 27 -94 + -3x = 12 + -1(27) + 16 Multiply -1 * 27 -94 + -3x = 12 + -27 + 16 Combine like terms: 12 + -27 = -15 -94 + -3x = -15 + 16 Combine like terms: -15 + 16 = 1 -94 + -3x = 1 Solving -94 + -3x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '94' to each side of the equation. -94 + 94 + -3x = 1 + 94 Combine like terms: -94 + 94 = 0 0 + -3x = 1 + 94 -3x = 1 + 94 Combine like terms: 1 + 94 = 95 -3x = 95 Divide each side by '-3'. x = -31.66666667 Simplifying x = -31.66666667
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