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Simplifying 3x + -42 = 4(x + -8) Reorder the terms: -42 + 3x = 4(x + -8) Reorder the terms: -42 + 3x = 4(-8 + x) -42 + 3x = (-8 * 4 + x * 4) -42 + 3x = (-32 + 4x) Solving -42 + 3x = -32 + 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. -42 + 3x + -4x = -32 + 4x + -4x Combine like terms: 3x + -4x = -1x -42 + -1x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + -1x = -32 + 0 -42 + -1x = -32 Add '42' to each side of the equation. -42 + 42 + -1x = -32 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = -32 + 42 -1x = -32 + 42 Combine like terms: -32 + 42 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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