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Simplifying 5(2x + -3) = 6(x + 2) + -11 Reorder the terms: 5(-3 + 2x) = 6(x + 2) + -11 (-3 * 5 + 2x * 5) = 6(x + 2) + -11 (-15 + 10x) = 6(x + 2) + -11 Reorder the terms: -15 + 10x = 6(2 + x) + -11 -15 + 10x = (2 * 6 + x * 6) + -11 -15 + 10x = (12 + 6x) + -11 Reorder the terms: -15 + 10x = 12 + -11 + 6x Combine like terms: 12 + -11 = 1 -15 + 10x = 1 + 6x Solving -15 + 10x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 10x + -6x = 1 + 6x + -6x Combine like terms: 10x + -6x = 4x -15 + 4x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 4x = 1 + 0 -15 + 4x = 1 Add '15' to each side of the equation. -15 + 15 + 4x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 1 + 15 4x = 1 + 15 Combine like terms: 1 + 15 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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