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Simplifying 1140 = 6(x + 19) Reorder the terms: 1140 = 6(19 + x) 1140 = (19 * 6 + x * 6) 1140 = (114 + 6x) Solving 1140 = 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. 1140 + -6x = 114 + 6x + -6x Combine like terms: 6x + -6x = 0 1140 + -6x = 114 + 0 1140 + -6x = 114 Add '-1140' to each side of the equation. 1140 + -1140 + -6x = 114 + -1140 Combine like terms: 1140 + -1140 = 0 0 + -6x = 114 + -1140 -6x = 114 + -1140 Combine like terms: 114 + -1140 = -1026 -6x = -1026 Divide each side by '-6'. x = 171 Simplifying x = 171
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