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Simplifying 9x + 19 = 5(x + 67) Reorder the terms: 19 + 9x = 5(x + 67) Reorder the terms: 19 + 9x = 5(67 + x) 19 + 9x = (67 * 5 + x * 5) 19 + 9x = (335 + 5x) Solving 19 + 9x = 335 + 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. 19 + 9x + -5x = 335 + 5x + -5x Combine like terms: 9x + -5x = 4x 19 + 4x = 335 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + 4x = 335 + 0 19 + 4x = 335 Add '-19' to each side of the equation. 19 + -19 + 4x = 335 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 335 + -19 4x = 335 + -19 Combine like terms: 335 + -19 = 316 4x = 316 Divide each side by '4'. x = 79 Simplifying x = 79
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