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Simplifying -53 = -5x + -2(5x + -11) Reorder the terms: -53 = -5x + -2(-11 + 5x) -53 = -5x + (-11 * -2 + 5x * -2) -53 = -5x + (22 + -10x) Reorder the terms: -53 = 22 + -5x + -10x Combine like terms: -5x + -10x = -15x -53 = 22 + -15x Solving -53 = 22 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -53 + 15x = 22 + -15x + 15x Combine like terms: -15x + 15x = 0 -53 + 15x = 22 + 0 -53 + 15x = 22 Add '53' to each side of the equation. -53 + 53 + 15x = 22 + 53 Combine like terms: -53 + 53 = 0 0 + 15x = 22 + 53 15x = 22 + 53 Combine like terms: 22 + 53 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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