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Simplifying -10(7x + 3) = 37 + -3x Reorder the terms: -10(3 + 7x) = 37 + -3x (3 * -10 + 7x * -10) = 37 + -3x (-30 + -70x) = 37 + -3x Solving -30 + -70x = 37 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + -70x + 3x = 37 + -3x + 3x Combine like terms: -70x + 3x = -67x -30 + -67x = 37 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + -67x = 37 + 0 -30 + -67x = 37 Add '30' to each side of the equation. -30 + 30 + -67x = 37 + 30 Combine like terms: -30 + 30 = 0 0 + -67x = 37 + 30 -67x = 37 + 30 Combine like terms: 37 + 30 = 67 -67x = 67 Divide each side by '-67'. x = -1 Simplifying x = -1
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