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Simplifying 3(4x + 3) + 53 = 5x + -1 Reorder the terms: 3(3 + 4x) + 53 = 5x + -1 (3 * 3 + 4x * 3) + 53 = 5x + -1 (9 + 12x) + 53 = 5x + -1 Reorder the terms: 9 + 53 + 12x = 5x + -1 Combine like terms: 9 + 53 = 62 62 + 12x = 5x + -1 Reorder the terms: 62 + 12x = -1 + 5x Solving 62 + 12x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 62 + 12x + -5x = -1 + 5x + -5x Combine like terms: 12x + -5x = 7x 62 + 7x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 62 + 7x = -1 + 0 62 + 7x = -1 Add '-62' to each side of the equation. 62 + -62 + 7x = -1 + -62 Combine like terms: 62 + -62 = 0 0 + 7x = -1 + -62 7x = -1 + -62 Combine like terms: -1 + -62 = -63 7x = -63 Divide each side by '7'. x = -9 Simplifying x = -9
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