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Simplifying 175 = 5x + 3(-6x + 15) Reorder the terms: 175 = 5x + 3(15 + -6x) 175 = 5x + (15 * 3 + -6x * 3) 175 = 5x + (45 + -18x) Reorder the terms: 175 = 45 + 5x + -18x Combine like terms: 5x + -18x = -13x 175 = 45 + -13x Solving 175 = 45 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 175 + 13x = 45 + -13x + 13x Combine like terms: -13x + 13x = 0 175 + 13x = 45 + 0 175 + 13x = 45 Add '-175' to each side of the equation. 175 + -175 + 13x = 45 + -175 Combine like terms: 175 + -175 = 0 0 + 13x = 45 + -175 13x = 45 + -175 Combine like terms: 45 + -175 = -130 13x = -130 Divide each side by '13'. x = -10 Simplifying x = -10
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