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Simplifying 3(1 + -2x) + 4(3x + -1) = 7 (1 * 3 + -2x * 3) + 4(3x + -1) = 7 (3 + -6x) + 4(3x + -1) = 7 Reorder the terms: 3 + -6x + 4(-1 + 3x) = 7 3 + -6x + (-1 * 4 + 3x * 4) = 7 3 + -6x + (-4 + 12x) = 7 Reorder the terms: 3 + -4 + -6x + 12x = 7 Combine like terms: 3 + -4 = -1 -1 + -6x + 12x = 7 Combine like terms: -6x + 12x = 6x -1 + 6x = 7 Solving -1 + 6x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 7 + 1 6x = 7 + 1 Combine like terms: 7 + 1 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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