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Simplifying 5x + 48 + 7x = 17(x + 4) Reorder the terms: 48 + 5x + 7x = 17(x + 4) Combine like terms: 5x + 7x = 12x 48 + 12x = 17(x + 4) Reorder the terms: 48 + 12x = 17(4 + x) 48 + 12x = (4 * 17 + x * 17) 48 + 12x = (68 + 17x) Solving 48 + 12x = 68 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 48 + 12x + -17x = 68 + 17x + -17x Combine like terms: 12x + -17x = -5x 48 + -5x = 68 + 17x + -17x Combine like terms: 17x + -17x = 0 48 + -5x = 68 + 0 48 + -5x = 68 Add '-48' to each side of the equation. 48 + -48 + -5x = 68 + -48 Combine like terms: 48 + -48 = 0 0 + -5x = 68 + -48 -5x = 68 + -48 Combine like terms: 68 + -48 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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