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Simplifying -3(2x + -4) + 7(x + -7) = -37 + -5 Reorder the terms: -3(-4 + 2x) + 7(x + -7) = -37 + -5 (-4 * -3 + 2x * -3) + 7(x + -7) = -37 + -5 (12 + -6x) + 7(x + -7) = -37 + -5 Reorder the terms: 12 + -6x + 7(-7 + x) = -37 + -5 12 + -6x + (-7 * 7 + x * 7) = -37 + -5 12 + -6x + (-49 + 7x) = -37 + -5 Reorder the terms: 12 + -49 + -6x + 7x = -37 + -5 Combine like terms: 12 + -49 = -37 -37 + -6x + 7x = -37 + -5 Combine like terms: -6x + 7x = 1x -37 + 1x = -37 + -5 Combine like terms: -37 + -5 = -42 -37 + 1x = -42 Solving -37 + 1x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 1x = -42 + 37 Combine like terms: -37 + 37 = 0 0 + 1x = -42 + 37 1x = -42 + 37 Combine like terms: -42 + 37 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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