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Simplifying -53 = 2x + 5(-4x + 11) Reorder the terms: -53 = 2x + 5(11 + -4x) -53 = 2x + (11 * 5 + -4x * 5) -53 = 2x + (55 + -20x) Reorder the terms: -53 = 55 + 2x + -20x Combine like terms: 2x + -20x = -18x -53 = 55 + -18x Solving -53 = 55 + -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 = 55 + -18x + 18x Combine like terms: -18x + 18x = 0 -53 + 18x = 55 + 0 -53 + 18x = 55 Add '53' to each side of the equation. -53 + 53 + 18x = 55 + 53 Combine like terms: -53 + 53 = 0 0 + 18x = 55 + 53 18x = 55 + 53 Combine like terms: 55 + 53 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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