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Simplifying 13 + x = 5(-3x + 2) Reorder the terms: 13 + x = 5(2 + -3x) 13 + x = (2 * 5 + -3x * 5) 13 + x = (10 + -15x) Solving 13 + x = 10 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 13 + x + 15x = 10 + -15x + 15x Combine like terms: x + 15x = 16x 13 + 16x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 13 + 16x = 10 + 0 13 + 16x = 10 Add '-13' to each side of the equation. 13 + -13 + 16x = 10 + -13 Combine like terms: 13 + -13 = 0 0 + 16x = 10 + -13 16x = 10 + -13 Combine like terms: 10 + -13 = -3 16x = -3 Divide each side by '16'. x = -0.1875 Simplifying x = -0.1875
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