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Simplifying 13 + -7x = -6 + -9(x + 3) Reorder the terms: 13 + -7x = -6 + -9(3 + x) 13 + -7x = -6 + (3 * -9 + x * -9) 13 + -7x = -6 + (-27 + -9x) Combine like terms: -6 + -27 = -33 13 + -7x = -33 + -9x Solving 13 + -7x = -33 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 13 + -7x + 9x = -33 + -9x + 9x Combine like terms: -7x + 9x = 2x 13 + 2x = -33 + -9x + 9x Combine like terms: -9x + 9x = 0 13 + 2x = -33 + 0 13 + 2x = -33 Add '-13' to each side of the equation. 13 + -13 + 2x = -33 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = -33 + -13 2x = -33 + -13 Combine like terms: -33 + -13 = -46 2x = -46 Divide each side by '2'. x = -23 Simplifying x = -23
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