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Simplifying -78 = -3x + 7(-1x + -4) Reorder the terms: -78 = -3x + 7(-4 + -1x) -78 = -3x + (-4 * 7 + -1x * 7) -78 = -3x + (-28 + -7x) Reorder the terms: -78 = -28 + -3x + -7x Combine like terms: -3x + -7x = -10x -78 = -28 + -10x Solving -78 = -28 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -78 + 10x = -28 + -10x + 10x Combine like terms: -10x + 10x = 0 -78 + 10x = -28 + 0 -78 + 10x = -28 Add '78' to each side of the equation. -78 + 78 + 10x = -28 + 78 Combine like terms: -78 + 78 = 0 0 + 10x = -28 + 78 10x = -28 + 78 Combine like terms: -28 + 78 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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