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Simplifying 6x + -11 = 2(5x + -30) + 9 Reorder the terms: -11 + 6x = 2(5x + -30) + 9 Reorder the terms: -11 + 6x = 2(-30 + 5x) + 9 -11 + 6x = (-30 * 2 + 5x * 2) + 9 -11 + 6x = (-60 + 10x) + 9 Reorder the terms: -11 + 6x = -60 + 9 + 10x Combine like terms: -60 + 9 = -51 -11 + 6x = -51 + 10x Solving -11 + 6x = -51 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -11 + 6x + -10x = -51 + 10x + -10x Combine like terms: 6x + -10x = -4x -11 + -4x = -51 + 10x + -10x Combine like terms: 10x + -10x = 0 -11 + -4x = -51 + 0 -11 + -4x = -51 Add '11' to each side of the equation. -11 + 11 + -4x = -51 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = -51 + 11 -4x = -51 + 11 Combine like terms: -51 + 11 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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