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Simplifying 2x + 11 = 10x + -53 + 10x + -53 Reorder the terms: 11 + 2x = 10x + -53 + 10x + -53 Reorder the terms: 11 + 2x = -53 + -53 + 10x + 10x Combine like terms: -53 + -53 = -106 11 + 2x = -106 + 10x + 10x Combine like terms: 10x + 10x = 20x 11 + 2x = -106 + 20x Solving 11 + 2x = -106 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 11 + 2x + -20x = -106 + 20x + -20x Combine like terms: 2x + -20x = -18x 11 + -18x = -106 + 20x + -20x Combine like terms: 20x + -20x = 0 11 + -18x = -106 + 0 11 + -18x = -106 Add '-11' to each side of the equation. 11 + -11 + -18x = -106 + -11 Combine like terms: 11 + -11 = 0 0 + -18x = -106 + -11 -18x = -106 + -11 Combine like terms: -106 + -11 = -117 -18x = -117 Divide each side by '-18'. x = 6.5 Simplifying x = 6.5
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