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Simplifying -106 = -7(1 + 4x) + -5x -106 = (1 * -7 + 4x * -7) + -5x -106 = (-7 + -28x) + -5x Combine like terms: -28x + -5x = -33x -106 = -7 + -33x Solving -106 = -7 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -106 + 33x = -7 + -33x + 33x Combine like terms: -33x + 33x = 0 -106 + 33x = -7 + 0 -106 + 33x = -7 Add '106' to each side of the equation. -106 + 106 + 33x = -7 + 106 Combine like terms: -106 + 106 = 0 0 + 33x = -7 + 106 33x = -7 + 106 Combine like terms: -7 + 106 = 99 33x = 99 Divide each side by '33'. x = 3 Simplifying x = 3
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