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Simplifying (4 + -6x) + -1(-4x + 5) + -6x = 55 Remove parenthesis around (4 + -6x) 4 + -6x + -1(-4x + 5) + -6x = 55 Reorder the terms: 4 + -6x + -1(5 + -4x) + -6x = 55 4 + -6x + (5 * -1 + -4x * -1) + -6x = 55 4 + -6x + (-5 + 4x) + -6x = 55 Reorder the terms: 4 + -5 + -6x + 4x + -6x = 55 Combine like terms: 4 + -5 = -1 -1 + -6x + 4x + -6x = 55 Combine like terms: -6x + 4x = -2x -1 + -2x + -6x = 55 Combine like terms: -2x + -6x = -8x -1 + -8x = 55 Solving -1 + -8x = 55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -8x = 55 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 55 + 1 -8x = 55 + 1 Combine like terms: 55 + 1 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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