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Simplifying -7(-1x + 4) + 6(-1x) + 5(-3x + -4) + 48 = 0 Reorder the terms: -7(4 + -1x) + 6(-1x) + 5(-3x + -4) + 48 = 0 (4 * -7 + -1x * -7) + 6(-1x) + 5(-3x + -4) + 48 = 0 (-28 + 7x) + 6(-1x) + 5(-3x + -4) + 48 = 0 Remove parenthesis around (-1x) -28 + 7x + 6 * -1x + 5(-3x + -4) + 48 = 0 Multiply 6 * -1 -28 + 7x + -6x + 5(-3x + -4) + 48 = 0 Reorder the terms: -28 + 7x + -6x + 5(-4 + -3x) + 48 = 0 -28 + 7x + -6x + (-4 * 5 + -3x * 5) + 48 = 0 -28 + 7x + -6x + (-20 + -15x) + 48 = 0 Reorder the terms: -28 + -20 + 48 + 7x + -6x + -15x = 0 Combine like terms: -28 + -20 = -48 -48 + 48 + 7x + -6x + -15x = 0 Combine like terms: -48 + 48 = 0 0 + 7x + -6x + -15x = 0 7x + -6x + -15x = 0 Combine like terms: 7x + -6x = 1x 1x + -15x = 0 Combine like terms: 1x + -15x = -14x -14x = 0 Solving -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-14'. x = 0 Simplifying x = 0
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