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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 = -11 13 + 5x = -11 + -2x Solving 13 + 5x = -11 + -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 = -11 + -2x + 2x Combine like terms: 5x + 2x = 7x 13 + 7x = -11 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 7x = -11 + 0 13 + 7x = -11 Add '-13' to each side of the equation. 13 + -13 + 7x = -11 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = -11 + -13 7x = -11 + -13 Combine like terms: -11 + -13 = -24 7x = -24 Divide each side by '7'. x = -3.428571429 Simplifying x = -3.428571429
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