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