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Simplifying 7(x + 7) + 3(x + -4) = -17 Reorder the terms: 7(7 + x) + 3(x + -4) = -17 (7 * 7 + x * 7) + 3(x + -4) = -17 (49 + 7x) + 3(x + -4) = -17 Reorder the terms: 49 + 7x + 3(-4 + x) = -17 49 + 7x + (-4 * 3 + x * 3) = -17 49 + 7x + (-12 + 3x) = -17 Reorder the terms: 49 + -12 + 7x + 3x = -17 Combine like terms: 49 + -12 = 37 37 + 7x + 3x = -17 Combine like terms: 7x + 3x = 10x 37 + 10x = -17 Solving 37 + 10x = -17 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 + 10x = -17 + -37 Combine like terms: 37 + -37 = 0 0 + 10x = -17 + -37 10x = -17 + -37 Combine like terms: -17 + -37 = -54 10x = -54 Divide each side by '10'. x = -5.4 Simplifying x = -5.4
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