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Simplifying -1x + 11 = 5x + 2(7x + -2) Reorder the terms: 11 + -1x = 5x + 2(7x + -2) Reorder the terms: 11 + -1x = 5x + 2(-2 + 7x) 11 + -1x = 5x + (-2 * 2 + 7x * 2) 11 + -1x = 5x + (-4 + 14x) Reorder the terms: 11 + -1x = -4 + 5x + 14x Combine like terms: 5x + 14x = 19x 11 + -1x = -4 + 19x Solving 11 + -1x = -4 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 11 + -1x + -19x = -4 + 19x + -19x Combine like terms: -1x + -19x = -20x 11 + -20x = -4 + 19x + -19x Combine like terms: 19x + -19x = 0 11 + -20x = -4 + 0 11 + -20x = -4 Add '-11' to each side of the equation. 11 + -11 + -20x = -4 + -11 Combine like terms: 11 + -11 = 0 0 + -20x = -4 + -11 -20x = -4 + -11 Combine like terms: -4 + -11 = -15 -20x = -15 Divide each side by '-20'. x = 0.75 Simplifying x = 0.75
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