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Simplifying 7x + 2(2 + 6x) = 3(6x + -2) + 2x 7x + (2 * 2 + 6x * 2) = 3(6x + -2) + 2x 7x + (4 + 12x) = 3(6x + -2) + 2x Reorder the terms: 4 + 7x + 12x = 3(6x + -2) + 2x Combine like terms: 7x + 12x = 19x 4 + 19x = 3(6x + -2) + 2x Reorder the terms: 4 + 19x = 3(-2 + 6x) + 2x 4 + 19x = (-2 * 3 + 6x * 3) + 2x 4 + 19x = (-6 + 18x) + 2x Combine like terms: 18x + 2x = 20x 4 + 19x = -6 + 20x Solving 4 + 19x = -6 + 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. 4 + 19x + -20x = -6 + 20x + -20x Combine like terms: 19x + -20x = -1x 4 + -1x = -6 + 20x + -20x Combine like terms: 20x + -20x = 0 4 + -1x = -6 + 0 4 + -1x = -6 Add '-4' to each side of the equation. 4 + -4 + -1x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -6 + -4 -1x = -6 + -4 Combine like terms: -6 + -4 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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