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Simplifying -7(x + 4) + 4(3x + 1) = 3x + -4x Reorder the terms: -7(4 + x) + 4(3x + 1) = 3x + -4x (4 * -7 + x * -7) + 4(3x + 1) = 3x + -4x (-28 + -7x) + 4(3x + 1) = 3x + -4x Reorder the terms: -28 + -7x + 4(1 + 3x) = 3x + -4x -28 + -7x + (1 * 4 + 3x * 4) = 3x + -4x -28 + -7x + (4 + 12x) = 3x + -4x Reorder the terms: -28 + 4 + -7x + 12x = 3x + -4x Combine like terms: -28 + 4 = -24 -24 + -7x + 12x = 3x + -4x Combine like terms: -7x + 12x = 5x -24 + 5x = 3x + -4x Combine like terms: 3x + -4x = -1x -24 + 5x = -1x Solving -24 + 5x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -24 + 5x + x = -1x + x Combine like terms: 5x + x = 6x -24 + 6x = -1x + x Combine like terms: -1x + x = 0 -24 + 6x = 0 Add '24' to each side of the equation. -24 + 24 + 6x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 0 + 24 6x = 0 + 24 Combine like terms: 0 + 24 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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