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Simplifying 5(x + -7) + -2(2x + 6) = -16 Reorder the terms: 5(-7 + x) + -2(2x + 6) = -16 (-7 * 5 + x * 5) + -2(2x + 6) = -16 (-35 + 5x) + -2(2x + 6) = -16 Reorder the terms: -35 + 5x + -2(6 + 2x) = -16 -35 + 5x + (6 * -2 + 2x * -2) = -16 -35 + 5x + (-12 + -4x) = -16 Reorder the terms: -35 + -12 + 5x + -4x = -16 Combine like terms: -35 + -12 = -47 -47 + 5x + -4x = -16 Combine like terms: 5x + -4x = 1x -47 + 1x = -16 Solving -47 + 1x = -16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 1x = -16 + 47 Combine like terms: -47 + 47 = 0 0 + 1x = -16 + 47 1x = -16 + 47 Combine like terms: -16 + 47 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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