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Simplifying 116 = 7x + 3(2x + 17) Reorder the terms: 116 = 7x + 3(17 + 2x) 116 = 7x + (17 * 3 + 2x * 3) 116 = 7x + (51 + 6x) Reorder the terms: 116 = 51 + 7x + 6x Combine like terms: 7x + 6x = 13x 116 = 51 + 13x Solving 116 = 51 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 116 + -13x = 51 + 13x + -13x Combine like terms: 13x + -13x = 0 116 + -13x = 51 + 0 116 + -13x = 51 Add '-116' to each side of the equation. 116 + -116 + -13x = 51 + -116 Combine like terms: 116 + -116 = 0 0 + -13x = 51 + -116 -13x = 51 + -116 Combine like terms: 51 + -116 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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