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Simplifying -5x + -42 = 4(x + 3) Reorder the terms: -42 + -5x = 4(x + 3) Reorder the terms: -42 + -5x = 4(3 + x) -42 + -5x = (3 * 4 + x * 4) -42 + -5x = (12 + 4x) Solving -42 + -5x = 12 + 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 + -5x + -4x = 12 + 4x + -4x Combine like terms: -5x + -4x = -9x -42 + -9x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + -9x = 12 + 0 -42 + -9x = 12 Add '42' to each side of the equation. -42 + 42 + -9x = 12 + 42 Combine like terms: -42 + 42 = 0 0 + -9x = 12 + 42 -9x = 12 + 42 Combine like terms: 12 + 42 = 54 -9x = 54 Divide each side by '-9'. x = -6 Simplifying x = -6
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