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Simplifying 5(x + -2) + 11 = 6x + -10 Reorder the terms: 5(-2 + x) + 11 = 6x + -10 (-2 * 5 + x * 5) + 11 = 6x + -10 (-10 + 5x) + 11 = 6x + -10 Reorder the terms: -10 + 11 + 5x = 6x + -10 Combine like terms: -10 + 11 = 1 1 + 5x = 6x + -10 Reorder the terms: 1 + 5x = -10 + 6x Solving 1 + 5x = -10 + 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. 1 + 5x + -6x = -10 + 6x + -6x Combine like terms: 5x + -6x = -1x 1 + -1x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -1x = -10 + 0 1 + -1x = -10 Add '-1' to each side of the equation. 1 + -1 + -1x = -10 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -10 + -1 -1x = -10 + -1 Combine like terms: -10 + -1 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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