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Simplifying -106 = -8x + -3(5 + -7x) -106 = -8x + (5 * -3 + -7x * -3) -106 = -8x + (-15 + 21x) Reorder the terms: -106 = -15 + -8x + 21x Combine like terms: -8x + 21x = 13x -106 = -15 + 13x Solving -106 = -15 + 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. -106 + -13x = -15 + 13x + -13x Combine like terms: 13x + -13x = 0 -106 + -13x = -15 + 0 -106 + -13x = -15 Add '106' to each side of the equation. -106 + 106 + -13x = -15 + 106 Combine like terms: -106 + 106 = 0 0 + -13x = -15 + 106 -13x = -15 + 106 Combine like terms: -15 + 106 = 91 -13x = 91 Divide each side by '-13'. x = -7 Simplifying x = -7
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