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Simplifying 777 = (x + 31) + 4(x + -40) + x Reorder the terms: 777 = (31 + x) + 4(x + -40) + x Remove parenthesis around (31 + x) 777 = 31 + x + 4(x + -40) + x Reorder the terms: 777 = 31 + x + 4(-40 + x) + x 777 = 31 + x + (-40 * 4 + x * 4) + x 777 = 31 + x + (-160 + 4x) + x Reorder the terms: 777 = 31 + -160 + x + 4x + x Combine like terms: 31 + -160 = -129 777 = -129 + x + 4x + x Combine like terms: x + 4x = 5x 777 = -129 + 5x + x Combine like terms: 5x + x = 6x 777 = -129 + 6x Solving 777 = -129 + 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. 777 + -6x = -129 + 6x + -6x Combine like terms: 6x + -6x = 0 777 + -6x = -129 + 0 777 + -6x = -129 Add '-777' to each side of the equation. 777 + -777 + -6x = -129 + -777 Combine like terms: 777 + -777 = 0 0 + -6x = -129 + -777 -6x = -129 + -777 Combine like terms: -129 + -777 = -906 -6x = -906 Divide each side by '-6'. x = 151 Simplifying x = 151
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