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Simplifying 4(3x + -1) + 6 = 7x Reorder the terms: 4(-1 + 3x) + 6 = 7x (-1 * 4 + 3x * 4) + 6 = 7x (-4 + 12x) + 6 = 7x Reorder the terms: -4 + 6 + 12x = 7x Combine like terms: -4 + 6 = 2 2 + 12x = 7x Solving 2 + 12x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 12x + -7x = 7x + -7x Combine like terms: 12x + -7x = 5x 2 + 5x = 7x + -7x Combine like terms: 7x + -7x = 0 2 + 5x = 0 Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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