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Simplifying 5x + 2 = 17 + -3(x + -7x) Reorder the terms: 2 + 5x = 17 + -3(x + -7x) Combine like terms: x + -7x = -6x 2 + 5x = 17 + -3(-6x) Remove parenthesis around (-6x) 2 + 5x = 17 + -3 * -6x Multiply -3 * -6 2 + 5x = 17 + 18x Solving 2 + 5x = 17 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 2 + 5x + -18x = 17 + 18x + -18x Combine like terms: 5x + -18x = -13x 2 + -13x = 17 + 18x + -18x Combine like terms: 18x + -18x = 0 2 + -13x = 17 + 0 2 + -13x = 17 Add '-2' to each side of the equation. 2 + -2 + -13x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -13x = 17 + -2 -13x = 17 + -2 Combine like terms: 17 + -2 = 15 -13x = 15 Divide each side by '-13'. x = -1.153846154 Simplifying x = -1.153846154
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