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Simplifying 3(2x + 7) + -4 = 53 + -3x Reorder the terms: 3(7 + 2x) + -4 = 53 + -3x (7 * 3 + 2x * 3) + -4 = 53 + -3x (21 + 6x) + -4 = 53 + -3x Reorder the terms: 21 + -4 + 6x = 53 + -3x Combine like terms: 21 + -4 = 17 17 + 6x = 53 + -3x Solving 17 + 6x = 53 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 17 + 6x + 3x = 53 + -3x + 3x Combine like terms: 6x + 3x = 9x 17 + 9x = 53 + -3x + 3x Combine like terms: -3x + 3x = 0 17 + 9x = 53 + 0 17 + 9x = 53 Add '-17' to each side of the equation. 17 + -17 + 9x = 53 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = 53 + -17 9x = 53 + -17 Combine like terms: 53 + -17 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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