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Simplifying -2(4 + 3x) + 7 = 6(x + 1) (4 * -2 + 3x * -2) + 7 = 6(x + 1) (-8 + -6x) + 7 = 6(x + 1) Reorder the terms: -8 + 7 + -6x = 6(x + 1) Combine like terms: -8 + 7 = -1 -1 + -6x = 6(x + 1) Reorder the terms: -1 + -6x = 6(1 + x) -1 + -6x = (1 * 6 + x * 6) -1 + -6x = (6 + 6x) Solving -1 + -6x = 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 + -6x + -6x = 6 + 6x + -6x Combine like terms: -6x + -6x = -12x -1 + -12x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -12x = 6 + 0 -1 + -12x = 6 Add '1' to each side of the equation. -1 + 1 + -12x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -12x = 6 + 1 -12x = 6 + 1 Combine like terms: 6 + 1 = 7 -12x = 7 Divide each side by '-12'. x = -0.5833333333 Simplifying x = -0.5833333333
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