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Simplifying 49(x + -1) + 2(x + -7) = 12 Reorder the terms: 49(-1 + x) + 2(x + -7) = 12 (-1 * 49 + x * 49) + 2(x + -7) = 12 (-49 + 49x) + 2(x + -7) = 12 Reorder the terms: -49 + 49x + 2(-7 + x) = 12 -49 + 49x + (-7 * 2 + x * 2) = 12 -49 + 49x + (-14 + 2x) = 12 Reorder the terms: -49 + -14 + 49x + 2x = 12 Combine like terms: -49 + -14 = -63 -63 + 49x + 2x = 12 Combine like terms: 49x + 2x = 51x -63 + 51x = 12 Solving -63 + 51x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 51x = 12 + 63 Combine like terms: -63 + 63 = 0 0 + 51x = 12 + 63 51x = 12 + 63 Combine like terms: 12 + 63 = 75 51x = 75 Divide each side by '51'. x = 1.470588235 Simplifying x = 1.470588235
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