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Simplifying -74x + -1(-57x) + -34x + -1(-47x) + -43 = 29 Remove parenthesis around (-57x) -74x + -1 * -57x + -34x + -1(-47x) + -43 = 29 Multiply -1 * -57 -74x + 57x + -34x + -1(-47x) + -43 = 29 Remove parenthesis around (-47x) -74x + 57x + -34x + -1 * -47x + -43 = 29 Multiply -1 * -47 -74x + 57x + -34x + 47x + -43 = 29 Reorder the terms: -43 + -74x + 57x + -34x + 47x = 29 Combine like terms: -74x + 57x = -17x -43 + -17x + -34x + 47x = 29 Combine like terms: -17x + -34x = -51x -43 + -51x + 47x = 29 Combine like terms: -51x + 47x = -4x -43 + -4x = 29 Solving -43 + -4x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -4x = 29 + 43 Combine like terms: -43 + 43 = 0 0 + -4x = 29 + 43 -4x = 29 + 43 Combine like terms: 29 + 43 = 72 -4x = 72 Divide each side by '-4'. x = -18 Simplifying x = -18
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