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Simplifying 4(3x + -1) = 7 + -6x Reorder the terms: 4(-1 + 3x) = 7 + -6x (-1 * 4 + 3x * 4) = 7 + -6x (-4 + 12x) = 7 + -6x Solving -4 + 12x = 7 + -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. -4 + 12x + 6x = 7 + -6x + 6x Combine like terms: 12x + 6x = 18x -4 + 18x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 18x = 7 + 0 -4 + 18x = 7 Add '4' to each side of the equation. -4 + 4 + 18x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = 7 + 4 18x = 7 + 4 Combine like terms: 7 + 4 = 11 18x = 11 Divide each side by '18'. x = 0.6111111111 Simplifying x = 0.6111111111
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