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Simplifying 2(4x + 11) = 3(5x + -2) Reorder the terms: 2(11 + 4x) = 3(5x + -2) (11 * 2 + 4x * 2) = 3(5x + -2) (22 + 8x) = 3(5x + -2) Reorder the terms: 22 + 8x = 3(-2 + 5x) 22 + 8x = (-2 * 3 + 5x * 3) 22 + 8x = (-6 + 15x) Solving 22 + 8x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 22 + 8x + -15x = -6 + 15x + -15x Combine like terms: 8x + -15x = -7x 22 + -7x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 22 + -7x = -6 + 0 22 + -7x = -6 Add '-22' to each side of the equation. 22 + -22 + -7x = -6 + -22 Combine like terms: 22 + -22 = 0 0 + -7x = -6 + -22 -7x = -6 + -22 Combine like terms: -6 + -22 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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