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Simplifying 7[x + -5] = 4[x + -14] Reorder the terms: 7[-5 + x] = 4[x + -14] [-5 * 7 + x * 7] = 4[x + -14] [-35 + 7x] = 4[x + -14] Reorder the terms: -35 + 7x = 4[-14 + x] -35 + 7x = [-14 * 4 + x * 4] -35 + 7x = [-56 + 4x] Solving -35 + 7x = -56 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -35 + 7x + -4x = -56 + 4x + -4x Combine like terms: 7x + -4x = 3x -35 + 3x = -56 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 3x = -56 + 0 -35 + 3x = -56 Add '35' to each side of the equation. -35 + 35 + 3x = -56 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = -56 + 35 3x = -56 + 35 Combine like terms: -56 + 35 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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