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Simplifying 2(7 + -1x) + 2(19 + -3x) = x (7 * 2 + -1x * 2) + 2(19 + -3x) = x (14 + -2x) + 2(19 + -3x) = x 14 + -2x + (19 * 2 + -3x * 2) = x 14 + -2x + (38 + -6x) = x Reorder the terms: 14 + 38 + -2x + -6x = x Combine like terms: 14 + 38 = 52 52 + -2x + -6x = x Combine like terms: -2x + -6x = -8x 52 + -8x = x Solving 52 + -8x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 52 + -8x + -1x = x + -1x Combine like terms: -8x + -1x = -9x 52 + -9x = x + -1x Combine like terms: x + -1x = 0 52 + -9x = 0 Add '-52' to each side of the equation. 52 + -52 + -9x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -9x = 0 + -52 -9x = 0 + -52 Combine like terms: 0 + -52 = -52 -9x = -52 Divide each side by '-9'. x = 5.777777778 Simplifying x = 5.777777778
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