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Simplifying -7(-1x + 3) + 10(-1x) + 3(-4x + -2) + 27 = 0 Reorder the terms: -7(3 + -1x) + 10(-1x) + 3(-4x + -2) + 27 = 0 (3 * -7 + -1x * -7) + 10(-1x) + 3(-4x + -2) + 27 = 0 (-21 + 7x) + 10(-1x) + 3(-4x + -2) + 27 = 0 Remove parenthesis around (-1x) -21 + 7x + 10 * -1x + 3(-4x + -2) + 27 = 0 Multiply 10 * -1 -21 + 7x + -10x + 3(-4x + -2) + 27 = 0 Reorder the terms: -21 + 7x + -10x + 3(-2 + -4x) + 27 = 0 -21 + 7x + -10x + (-2 * 3 + -4x * 3) + 27 = 0 -21 + 7x + -10x + (-6 + -12x) + 27 = 0 Reorder the terms: -21 + -6 + 27 + 7x + -10x + -12x = 0 Combine like terms: -21 + -6 = -27 -27 + 27 + 7x + -10x + -12x = 0 Combine like terms: -27 + 27 = 0 0 + 7x + -10x + -12x = 0 7x + -10x + -12x = 0 Combine like terms: 7x + -10x = -3x -3x + -12x = 0 Combine like terms: -3x + -12x = -15x -15x = 0 Solving -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-15'. x = 0 Simplifying x = 0
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