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Simplifying (40 + -12x) + -1(48 + -15x) = 1 Remove parenthesis around (40 + -12x) 40 + -12x + -1(48 + -15x) = 1 40 + -12x + (48 * -1 + -15x * -1) = 1 40 + -12x + (-48 + 15x) = 1 Reorder the terms: 40 + -48 + -12x + 15x = 1 Combine like terms: 40 + -48 = -8 -8 + -12x + 15x = 1 Combine like terms: -12x + 15x = 3x -8 + 3x = 1 Solving -8 + 3x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 1 + 8 3x = 1 + 8 Combine like terms: 1 + 8 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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