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Simplifying 4x + 13 = -9 + -1(3x + 9) Reorder the terms: 13 + 4x = -9 + -1(3x + 9) Reorder the terms: 13 + 4x = -9 + -1(9 + 3x) 13 + 4x = -9 + (9 * -1 + 3x * -1) 13 + 4x = -9 + (-9 + -3x) Combine like terms: -9 + -9 = -18 13 + 4x = -18 + -3x Solving 13 + 4x = -18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 13 + 4x + 3x = -18 + -3x + 3x Combine like terms: 4x + 3x = 7x 13 + 7x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + 7x = -18 + 0 13 + 7x = -18 Add '-13' to each side of the equation. 13 + -13 + 7x = -18 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = -18 + -13 7x = -18 + -13 Combine like terms: -18 + -13 = -31 7x = -31 Divide each side by '7'. x = -4.428571429 Simplifying x = -4.428571429
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