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Simplifying 2(x + 4) + -5 = 4x + 13 Reorder the terms: 2(4 + x) + -5 = 4x + 13 (4 * 2 + x * 2) + -5 = 4x + 13 (8 + 2x) + -5 = 4x + 13 Reorder the terms: 8 + -5 + 2x = 4x + 13 Combine like terms: 8 + -5 = 3 3 + 2x = 4x + 13 Reorder the terms: 3 + 2x = 13 + 4x Solving 3 + 2x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 2x + -4x = 13 + 4x + -4x Combine like terms: 2x + -4x = -2x 3 + -2x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -2x = 13 + 0 3 + -2x = 13 Add '-3' to each side of the equation. 3 + -3 + -2x = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 13 + -3 -2x = 13 + -3 Combine like terms: 13 + -3 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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