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Simplifying -5(2x + -7) + -3x = 17 Reorder the terms: -5(-7 + 2x) + -3x = 17 (-7 * -5 + 2x * -5) + -3x = 17 (35 + -10x) + -3x = 17 Combine like terms: -10x + -3x = -13x 35 + -13x = 17 Solving 35 + -13x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -13x = 17 + -35 Combine like terms: 35 + -35 = 0 0 + -13x = 17 + -35 -13x = 17 + -35 Combine like terms: 17 + -35 = -18 -13x = -18 Divide each side by '-13'. x = 1.384615385 Simplifying x = 1.384615385
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