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Simplifying -4(x + 7) = -10x + 44 Reorder the terms: -4(7 + x) = -10x + 44 (7 * -4 + x * -4) = -10x + 44 (-28 + -4x) = -10x + 44 Reorder the terms: -28 + -4x = 44 + -10x Solving -28 + -4x = 44 + -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. -28 + -4x + 10x = 44 + -10x + 10x Combine like terms: -4x + 10x = 6x -28 + 6x = 44 + -10x + 10x Combine like terms: -10x + 10x = 0 -28 + 6x = 44 + 0 -28 + 6x = 44 Add '28' to each side of the equation. -28 + 28 + 6x = 44 + 28 Combine like terms: -28 + 28 = 0 0 + 6x = 44 + 28 6x = 44 + 28 Combine like terms: 44 + 28 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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