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Simplifying 3 + -1(5x + -4) = 6 + 2(3x + -1) + x Reorder the terms: 3 + -1(-4 + 5x) = 6 + 2(3x + -1) + x 3 + (-4 * -1 + 5x * -1) = 6 + 2(3x + -1) + x 3 + (4 + -5x) = 6 + 2(3x + -1) + x Combine like terms: 3 + 4 = 7 7 + -5x = 6 + 2(3x + -1) + x Reorder the terms: 7 + -5x = 6 + 2(-1 + 3x) + x 7 + -5x = 6 + (-1 * 2 + 3x * 2) + x 7 + -5x = 6 + (-2 + 6x) + x Combine like terms: 6 + -2 = 4 7 + -5x = 4 + 6x + x Combine like terms: 6x + x = 7x 7 + -5x = 4 + 7x Solving 7 + -5x = 4 + 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. 7 + -5x + -7x = 4 + 7x + -7x Combine like terms: -5x + -7x = -12x 7 + -12x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -12x = 4 + 0 7 + -12x = 4 Add '-7' to each side of the equation. 7 + -7 + -12x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = 4 + -7 -12x = 4 + -7 Combine like terms: 4 + -7 = -3 -12x = -3 Divide each side by '-12'. x = 0.25 Simplifying x = 0.25
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