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Simplifying 4x + -42 = -2(x + 6) Reorder the terms: -42 + 4x = -2(x + 6) Reorder the terms: -42 + 4x = -2(6 + x) -42 + 4x = (6 * -2 + x * -2) -42 + 4x = (-12 + -2x) Solving -42 + 4x = -12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -42 + 4x + 2x = -12 + -2x + 2x Combine like terms: 4x + 2x = 6x -42 + 6x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 -42 + 6x = -12 + 0 -42 + 6x = -12 Add '42' to each side of the equation. -42 + 42 + 6x = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = -12 + 42 6x = -12 + 42 Combine like terms: -12 + 42 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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