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Simplifying 3x + -8 = -4(x + 2) + -42 Reorder the terms: -8 + 3x = -4(x + 2) + -42 Reorder the terms: -8 + 3x = -4(2 + x) + -42 -8 + 3x = (2 * -4 + x * -4) + -42 -8 + 3x = (-8 + -4x) + -42 Reorder the terms: -8 + 3x = -8 + -42 + -4x Combine like terms: -8 + -42 = -50 -8 + 3x = -50 + -4x Solving -8 + 3x = -50 + -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. -8 + 3x + 4x = -50 + -4x + 4x Combine like terms: 3x + 4x = 7x -8 + 7x = -50 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 7x = -50 + 0 -8 + 7x = -50 Add '8' to each side of the equation. -8 + 8 + 7x = -50 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = -50 + 8 7x = -50 + 8 Combine like terms: -50 + 8 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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