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Simplifying 4x + 13 = -9 + -3(x + 9) Reorder the terms: 13 + 4x = -9 + -3(x + 9) Reorder the terms: 13 + 4x = -9 + -3(9 + x) 13 + 4x = -9 + (9 * -3 + x * -3) 13 + 4x = -9 + (-27 + -3x) Combine like terms: -9 + -27 = -36 13 + 4x = -36 + -3x Solving 13 + 4x = -36 + -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 = -36 + -3x + 3x Combine like terms: 4x + 3x = 7x 13 + 7x = -36 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + 7x = -36 + 0 13 + 7x = -36 Add '-13' to each side of the equation. 13 + -13 + 7x = -36 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = -36 + -13 7x = -36 + -13 Combine like terms: -36 + -13 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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