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Simplifying 17 + 3(5x + -2) = 7x + -13 Reorder the terms: 17 + 3(-2 + 5x) = 7x + -13 17 + (-2 * 3 + 5x * 3) = 7x + -13 17 + (-6 + 15x) = 7x + -13 Combine like terms: 17 + -6 = 11 11 + 15x = 7x + -13 Reorder the terms: 11 + 15x = -13 + 7x Solving 11 + 15x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 11 + 15x + -7x = -13 + 7x + -7x Combine like terms: 15x + -7x = 8x 11 + 8x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + 8x = -13 + 0 11 + 8x = -13 Add '-11' to each side of the equation. 11 + -11 + 8x = -13 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = -13 + -11 8x = -13 + -11 Combine like terms: -13 + -11 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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