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