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Simplifying -53 = 7(x + 2) + 5(1 + -5x) Reorder the terms: -53 = 7(2 + x) + 5(1 + -5x) -53 = (2 * 7 + x * 7) + 5(1 + -5x) -53 = (14 + 7x) + 5(1 + -5x) -53 = 14 + 7x + (1 * 5 + -5x * 5) -53 = 14 + 7x + (5 + -25x) Reorder the terms: -53 = 14 + 5 + 7x + -25x Combine like terms: 14 + 5 = 19 -53 = 19 + 7x + -25x Combine like terms: 7x + -25x = -18x -53 = 19 + -18x Solving -53 = 19 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -53 + 18x = 19 + -18x + 18x Combine like terms: -18x + 18x = 0 -53 + 18x = 19 + 0 -53 + 18x = 19 Add '53' to each side of the equation. -53 + 53 + 18x = 19 + 53 Combine like terms: -53 + 53 = 0 0 + 18x = 19 + 53 18x = 19 + 53 Combine like terms: 19 + 53 = 72 18x = 72 Divide each side by '18'. x = 4 Simplifying x = 4
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