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Simplifying 5x + 13 = -2(x + -7) + 3 Reorder the terms: 13 + 5x = -2(x + -7) + 3 Reorder the terms: 13 + 5x = -2(-7 + x) + 3 13 + 5x = (-7 * -2 + x * -2) + 3 13 + 5x = (14 + -2x) + 3 Reorder the terms: 13 + 5x = 14 + 3 + -2x Combine like terms: 14 + 3 = 17 13 + 5x = 17 + -2x Solving 13 + 5x = 17 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 13 + 5x + 2x = 17 + -2x + 2x Combine like terms: 5x + 2x = 7x 13 + 7x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 7x = 17 + 0 13 + 7x = 17 Add '-13' to each side of the equation. 13 + -13 + 7x = 17 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 17 + -13 7x = 17 + -13 Combine like terms: 17 + -13 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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