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Simplifying 40 = 6x + 7(-1x + 17) Reorder the terms: 40 = 6x + 7(17 + -1x) 40 = 6x + (17 * 7 + -1x * 7) 40 = 6x + (119 + -7x) Reorder the terms: 40 = 119 + 6x + -7x Combine like terms: 6x + -7x = -1x 40 = 119 + -1x Solving 40 = 119 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 40 + x = 119 + -1x + x Combine like terms: -1x + x = 0 40 + x = 119 + 0 40 + x = 119 Add '-40' to each side of the equation. 40 + -40 + x = 119 + -40 Combine like terms: 40 + -40 = 0 0 + x = 119 + -40 x = 119 + -40 Combine like terms: 119 + -40 = 79 x = 79 Simplifying x = 79
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