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Simplifying -4(7 + 4x) = 42 + -6x (7 * -4 + 4x * -4) = 42 + -6x (-28 + -16x) = 42 + -6x Solving -28 + -16x = 42 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -28 + -16x + 6x = 42 + -6x + 6x Combine like terms: -16x + 6x = -10x -28 + -10x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 -28 + -10x = 42 + 0 -28 + -10x = 42 Add '28' to each side of the equation. -28 + 28 + -10x = 42 + 28 Combine like terms: -28 + 28 = 0 0 + -10x = 42 + 28 -10x = 42 + 28 Combine like terms: 42 + 28 = 70 -10x = 70 Divide each side by '-10'. x = -7 Simplifying x = -7
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