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Simplifying 7 = 5(x + -4) + 2 Reorder the terms: 7 = 5(-4 + x) + 2 7 = (-4 * 5 + x * 5) + 2 7 = (-20 + 5x) + 2 Reorder the terms: 7 = -20 + 2 + 5x Combine like terms: -20 + 2 = -18 7 = -18 + 5x Solving 7 = -18 + 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 + -5x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -5x = -18 + 0 7 + -5x = -18 Add '-7' to each side of the equation. 7 + -7 + -5x = -18 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -18 + -7 -5x = -18 + -7 Combine like terms: -18 + -7 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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