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Simplifying 7 + 4(3x + -2) = 6(1 + x) Reorder the terms: 7 + 4(-2 + 3x) = 6(1 + x) 7 + (-2 * 4 + 3x * 4) = 6(1 + x) 7 + (-8 + 12x) = 6(1 + x) Combine like terms: 7 + -8 = -1 -1 + 12x = 6(1 + x) -1 + 12x = (1 * 6 + x * 6) -1 + 12x = (6 + 6x) Solving -1 + 12x = 6 + 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. -1 + 12x + -6x = 6 + 6x + -6x Combine like terms: 12x + -6x = 6x -1 + 6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 6x = 6 + 0 -1 + 6x = 6 Add '1' to each side of the equation. -1 + 1 + 6x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 6 + 1 6x = 6 + 1 Combine like terms: 6 + 1 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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