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Simplifying 7(2x + -2) + 6(-4 + -5x) = 74 Reorder the terms: 7(-2 + 2x) + 6(-4 + -5x) = 74 (-2 * 7 + 2x * 7) + 6(-4 + -5x) = 74 (-14 + 14x) + 6(-4 + -5x) = 74 -14 + 14x + (-4 * 6 + -5x * 6) = 74 -14 + 14x + (-24 + -30x) = 74 Reorder the terms: -14 + -24 + 14x + -30x = 74 Combine like terms: -14 + -24 = -38 -38 + 14x + -30x = 74 Combine like terms: 14x + -30x = -16x -38 + -16x = 74 Solving -38 + -16x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -16x = 74 + 38 Combine like terms: -38 + 38 = 0 0 + -16x = 74 + 38 -16x = 74 + 38 Combine like terms: 74 + 38 = 112 -16x = 112 Divide each side by '-16'. x = -7 Simplifying x = -7
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