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Simplifying 6(7x + -2) + 7(x + -4) = -40 Reorder the terms: 6(-2 + 7x) + 7(x + -4) = -40 (-2 * 6 + 7x * 6) + 7(x + -4) = -40 (-12 + 42x) + 7(x + -4) = -40 Reorder the terms: -12 + 42x + 7(-4 + x) = -40 -12 + 42x + (-4 * 7 + x * 7) = -40 -12 + 42x + (-28 + 7x) = -40 Reorder the terms: -12 + -28 + 42x + 7x = -40 Combine like terms: -12 + -28 = -40 -40 + 42x + 7x = -40 Combine like terms: 42x + 7x = 49x -40 + 49x = -40 Add '40' to each side of the equation. -40 + 40 + 49x = -40 + 40 Combine like terms: -40 + 40 = 0 0 + 49x = -40 + 40 49x = -40 + 40 Combine like terms: -40 + 40 = 0 49x = 0 Solving 49x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '49'. x = 0 Simplifying x = 0
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