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Simplifying 4(7 + -3x) = 2(3x + 2) + -1 (7 * 4 + -3x * 4) = 2(3x + 2) + -1 (28 + -12x) = 2(3x + 2) + -1 Reorder the terms: 28 + -12x = 2(2 + 3x) + -1 28 + -12x = (2 * 2 + 3x * 2) + -1 28 + -12x = (4 + 6x) + -1 Reorder the terms: 28 + -12x = 4 + -1 + 6x Combine like terms: 4 + -1 = 3 28 + -12x = 3 + 6x Solving 28 + -12x = 3 + 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. 28 + -12x + -6x = 3 + 6x + -6x Combine like terms: -12x + -6x = -18x 28 + -18x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + -18x = 3 + 0 28 + -18x = 3 Add '-28' to each side of the equation. 28 + -28 + -18x = 3 + -28 Combine like terms: 28 + -28 = 0 0 + -18x = 3 + -28 -18x = 3 + -28 Combine like terms: 3 + -28 = -25 -18x = -25 Divide each side by '-18'. x = 1.388888889 Simplifying x = 1.388888889
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