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Simplifying 7x + -19 + -4(x + 2) = 8x + 3 Reorder the terms: 7x + -19 + -4(2 + x) = 8x + 3 7x + -19 + (2 * -4 + x * -4) = 8x + 3 7x + -19 + (-8 + -4x) = 8x + 3 Reorder the terms: -19 + -8 + 7x + -4x = 8x + 3 Combine like terms: -19 + -8 = -27 -27 + 7x + -4x = 8x + 3 Combine like terms: 7x + -4x = 3x -27 + 3x = 8x + 3 Reorder the terms: -27 + 3x = 3 + 8x Solving -27 + 3x = 3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -27 + 3x + -8x = 3 + 8x + -8x Combine like terms: 3x + -8x = -5x -27 + -5x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + -5x = 3 + 0 -27 + -5x = 3 Add '27' to each side of the equation. -27 + 27 + -5x = 3 + 27 Combine like terms: -27 + 27 = 0 0 + -5x = 3 + 27 -5x = 3 + 27 Combine like terms: 3 + 27 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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