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Simplifying -5x + 2 = 2(4x + 11) Reorder the terms: 2 + -5x = 2(4x + 11) Reorder the terms: 2 + -5x = 2(11 + 4x) 2 + -5x = (11 * 2 + 4x * 2) 2 + -5x = (22 + 8x) Solving 2 + -5x = 22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -5x + -8x = 22 + 8x + -8x Combine like terms: -5x + -8x = -13x 2 + -13x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -13x = 22 + 0 2 + -13x = 22 Add '-2' to each side of the equation. 2 + -2 + -13x = 22 + -2 Combine like terms: 2 + -2 = 0 0 + -13x = 22 + -2 -13x = 22 + -2 Combine like terms: 22 + -2 = 20 -13x = 20 Divide each side by '-13'. x = -1.538461538 Simplifying x = -1.538461538
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