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Simplifying 1158 = 6(x + 19) Reorder the terms: 1158 = 6(19 + x) 1158 = (19 * 6 + x * 6) 1158 = (114 + 6x) Solving 1158 = 114 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1158 + -6x = 114 + 6x + -6x Combine like terms: 6x + -6x = 0 1158 + -6x = 114 + 0 1158 + -6x = 114 Add '-1158' to each side of the equation. 1158 + -1158 + -6x = 114 + -1158 Combine like terms: 1158 + -1158 = 0 0 + -6x = 114 + -1158 -6x = 114 + -1158 Combine like terms: 114 + -1158 = -1044 -6x = -1044 Divide each side by '-6'. x = 174 Simplifying x = 174
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