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Simplifying 4(3x + -1) = 7(3 + -2x) + 5 Reorder the terms: 4(-1 + 3x) = 7(3 + -2x) + 5 (-1 * 4 + 3x * 4) = 7(3 + -2x) + 5 (-4 + 12x) = 7(3 + -2x) + 5 -4 + 12x = (3 * 7 + -2x * 7) + 5 -4 + 12x = (21 + -14x) + 5 Reorder the terms: -4 + 12x = 21 + 5 + -14x Combine like terms: 21 + 5 = 26 -4 + 12x = 26 + -14x Solving -4 + 12x = 26 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -4 + 12x + 14x = 26 + -14x + 14x Combine like terms: 12x + 14x = 26x -4 + 26x = 26 + -14x + 14x Combine like terms: -14x + 14x = 0 -4 + 26x = 26 + 0 -4 + 26x = 26 Add '4' to each side of the equation. -4 + 4 + 26x = 26 + 4 Combine like terms: -4 + 4 = 0 0 + 26x = 26 + 4 26x = 26 + 4 Combine like terms: 26 + 4 = 30 26x = 30 Divide each side by '26'. x = 1.153846154 Simplifying x = 1.153846154
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