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Simplifying 3(1 + -2x) + -5(3x) + -6(3x + -4) = 83 (1 * 3 + -2x * 3) + -5(3x) + -6(3x + -4) = 83 (3 + -6x) + -5(3x) + -6(3x + -4) = 83 Remove parenthesis around (3x) 3 + -6x + -5 * 3x + -6(3x + -4) = 83 Multiply -5 * 3 3 + -6x + -15x + -6(3x + -4) = 83 Reorder the terms: 3 + -6x + -15x + -6(-4 + 3x) = 83 3 + -6x + -15x + (-4 * -6 + 3x * -6) = 83 3 + -6x + -15x + (24 + -18x) = 83 Reorder the terms: 3 + 24 + -6x + -15x + -18x = 83 Combine like terms: 3 + 24 = 27 27 + -6x + -15x + -18x = 83 Combine like terms: -6x + -15x = -21x 27 + -21x + -18x = 83 Combine like terms: -21x + -18x = -39x 27 + -39x = 83 Solving 27 + -39x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -39x = 83 + -27 Combine like terms: 27 + -27 = 0 0 + -39x = 83 + -27 -39x = 83 + -27 Combine like terms: 83 + -27 = 56 -39x = 56 Divide each side by '-39'. x = -1.435897436 Simplifying x = -1.435897436
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