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Simplifying 3(4x + -7) + 18 = 5x + 53 Reorder the terms: 3(-7 + 4x) + 18 = 5x + 53 (-7 * 3 + 4x * 3) + 18 = 5x + 53 (-21 + 12x) + 18 = 5x + 53 Reorder the terms: -21 + 18 + 12x = 5x + 53 Combine like terms: -21 + 18 = -3 -3 + 12x = 5x + 53 Reorder the terms: -3 + 12x = 53 + 5x Solving -3 + 12x = 53 + 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. -3 + 12x + -5x = 53 + 5x + -5x Combine like terms: 12x + -5x = 7x -3 + 7x = 53 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 7x = 53 + 0 -3 + 7x = 53 Add '3' to each side of the equation. -3 + 3 + 7x = 53 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 53 + 3 7x = 53 + 3 Combine like terms: 53 + 3 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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