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Simplifying 52 = 7(x + -2) + -4 Reorder the terms: 52 = 7(-2 + x) + -4 52 = (-2 * 7 + x * 7) + -4 52 = (-14 + 7x) + -4 Reorder the terms: 52 = -14 + -4 + 7x Combine like terms: -14 + -4 = -18 52 = -18 + 7x Solving 52 = -18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 52 + -7x = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 52 + -7x = -18 + 0 52 + -7x = -18 Add '-52' to each side of the equation. 52 + -52 + -7x = -18 + -52 Combine like terms: 52 + -52 = 0 0 + -7x = -18 + -52 -7x = -18 + -52 Combine like terms: -18 + -52 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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