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Simplifying -153 = -6x + 7(-1x + -7) Reorder the terms: -153 = -6x + 7(-7 + -1x) -153 = -6x + (-7 * 7 + -1x * 7) -153 = -6x + (-49 + -7x) Reorder the terms: -153 = -49 + -6x + -7x Combine like terms: -6x + -7x = -13x -153 = -49 + -13x Solving -153 = -49 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -153 + 13x = -49 + -13x + 13x Combine like terms: -13x + 13x = 0 -153 + 13x = -49 + 0 -153 + 13x = -49 Add '153' to each side of the equation. -153 + 153 + 13x = -49 + 153 Combine like terms: -153 + 153 = 0 0 + 13x = -49 + 153 13x = -49 + 153 Combine like terms: -49 + 153 = 104 13x = 104 Divide each side by '13'. x = 8 Simplifying x = 8
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