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Simplifying -3(4x + 1) + 6x = (2x + -6) Reorder the terms: -3(1 + 4x) + 6x = (2x + -6) (1 * -3 + 4x * -3) + 6x = (2x + -6) (-3 + -12x) + 6x = (2x + -6) Combine like terms: -12x + 6x = -6x -3 + -6x = (2x + -6) Reorder the terms: -3 + -6x = (-6 + 2x) Remove parenthesis around (-6 + 2x) -3 + -6x = -6 + 2x Solving -3 + -6x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + -6x + -2x = -6 + 2x + -2x Combine like terms: -6x + -2x = -8x -3 + -8x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -8x = -6 + 0 -3 + -8x = -6 Add '3' to each side of the equation. -3 + 3 + -8x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = -6 + 3 -8x = -6 + 3 Combine like terms: -6 + 3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375
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