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Simplifying 12x + 53 = 9x + 15 + x Reorder the terms: 53 + 12x = 9x + 15 + x Reorder the terms: 53 + 12x = 15 + 9x + x Combine like terms: 9x + x = 10x 53 + 12x = 15 + 10x Solving 53 + 12x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 53 + 12x + -10x = 15 + 10x + -10x Combine like terms: 12x + -10x = 2x 53 + 2x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 53 + 2x = 15 + 0 53 + 2x = 15 Add '-53' to each side of the equation. 53 + -53 + 2x = 15 + -53 Combine like terms: 53 + -53 = 0 0 + 2x = 15 + -53 2x = 15 + -53 Combine like terms: 15 + -53 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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