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Simplifying 2(3x + 4) + -7(x + 2) = 4x Reorder the terms: 2(4 + 3x) + -7(x + 2) = 4x (4 * 2 + 3x * 2) + -7(x + 2) = 4x (8 + 6x) + -7(x + 2) = 4x Reorder the terms: 8 + 6x + -7(2 + x) = 4x 8 + 6x + (2 * -7 + x * -7) = 4x 8 + 6x + (-14 + -7x) = 4x Reorder the terms: 8 + -14 + 6x + -7x = 4x Combine like terms: 8 + -14 = -6 -6 + 6x + -7x = 4x Combine like terms: 6x + -7x = -1x -6 + -1x = 4x Solving -6 + -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. -6 + -1x + -4x = 4x + -4x Combine like terms: -1x + -4x = -5x -6 + -5x = 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -5x = 0 Add '6' to each side of the equation. -6 + 6 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2
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