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Simplifying 9 + -2(x + 4) = 2x + 13 Reorder the terms: 9 + -2(4 + x) = 2x + 13 9 + (4 * -2 + x * -2) = 2x + 13 9 + (-8 + -2x) = 2x + 13 Combine like terms: 9 + -8 = 1 1 + -2x = 2x + 13 Reorder the terms: 1 + -2x = 13 + 2x Solving 1 + -2x = 13 + 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. 1 + -2x + -2x = 13 + 2x + -2x Combine like terms: -2x + -2x = -4x 1 + -4x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -4x = 13 + 0 1 + -4x = 13 Add '-1' to each side of the equation. 1 + -1 + -4x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 13 + -1 -4x = 13 + -1 Combine like terms: 13 + -1 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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