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Simplifying 4x + 13 = -3(x + -9) Reorder the terms: 13 + 4x = -3(x + -9) Reorder the terms: 13 + 4x = -3(-9 + x) 13 + 4x = (-9 * -3 + x * -3) 13 + 4x = (27 + -3x) Solving 13 + 4x = 27 + -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 = 27 + -3x + 3x Combine like terms: 4x + 3x = 7x 13 + 7x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + 7x = 27 + 0 13 + 7x = 27 Add '-13' to each side of the equation. 13 + -13 + 7x = 27 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 27 + -13 7x = 27 + -13 Combine like terms: 27 + -13 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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