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Simplifying -4(x + 7) + 35 = 14 + -5x Reorder the terms: -4(7 + x) + 35 = 14 + -5x (7 * -4 + x * -4) + 35 = 14 + -5x (-28 + -4x) + 35 = 14 + -5x Reorder the terms: -28 + 35 + -4x = 14 + -5x Combine like terms: -28 + 35 = 7 7 + -4x = 14 + -5x Solving 7 + -4x = 14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + -4x + 5x = 14 + -5x + 5x Combine like terms: -4x + 5x = 1x 7 + 1x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 1x = 14 + 0 7 + 1x = 14 Add '-7' to each side of the equation. 7 + -7 + 1x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 14 + -7 1x = 14 + -7 Combine like terms: 14 + -7 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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