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Simplifying 2(3x + -4) + 7(4 + -1x) = 4x Reorder the terms: 2(-4 + 3x) + 7(4 + -1x) = 4x (-4 * 2 + 3x * 2) + 7(4 + -1x) = 4x (-8 + 6x) + 7(4 + -1x) = 4x -8 + 6x + (4 * 7 + -1x * 7) = 4x -8 + 6x + (28 + -7x) = 4x Reorder the terms: -8 + 28 + 6x + -7x = 4x Combine like terms: -8 + 28 = 20 20 + 6x + -7x = 4x Combine like terms: 6x + -7x = -1x 20 + -1x = 4x Solving 20 + -1x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -1x + -4x = 4x + -4x Combine like terms: -1x + -4x = -5x 20 + -5x = 4x + -4x Combine like terms: 4x + -4x = 0 20 + -5x = 0 Add '-20' to each side of the equation. 20 + -20 + -5x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 0 + -20 -5x = 0 + -20 Combine like terms: 0 + -20 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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