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Simplifying -53 = 3x + 2(-6x + 5) Reorder the terms: -53 = 3x + 2(5 + -6x) -53 = 3x + (5 * 2 + -6x * 2) -53 = 3x + (10 + -12x) Reorder the terms: -53 = 10 + 3x + -12x Combine like terms: 3x + -12x = -9x -53 = 10 + -9x Solving -53 = 10 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -53 + 9x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 -53 + 9x = 10 + 0 -53 + 9x = 10 Add '53' to each side of the equation. -53 + 53 + 9x = 10 + 53 Combine like terms: -53 + 53 = 0 0 + 9x = 10 + 53 9x = 10 + 53 Combine like terms: 10 + 53 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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