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Simplifying -2(3x + 1) + -4 = -4(x + 3) + 5x Reorder the terms: -2(1 + 3x) + -4 = -4(x + 3) + 5x (1 * -2 + 3x * -2) + -4 = -4(x + 3) + 5x (-2 + -6x) + -4 = -4(x + 3) + 5x Reorder the terms: -2 + -4 + -6x = -4(x + 3) + 5x Combine like terms: -2 + -4 = -6 -6 + -6x = -4(x + 3) + 5x Reorder the terms: -6 + -6x = -4(3 + x) + 5x -6 + -6x = (3 * -4 + x * -4) + 5x -6 + -6x = (-12 + -4x) + 5x Combine like terms: -4x + 5x = 1x -6 + -6x = -12 + 1x Solving -6 + -6x = -12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + -6x + -1x = -12 + 1x + -1x Combine like terms: -6x + -1x = -7x -6 + -7x = -12 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + -7x = -12 + 0 -6 + -7x = -12 Add '6' to each side of the equation. -6 + 6 + -7x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -12 + 6 -7x = -12 + 6 Combine like terms: -12 + 6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571
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