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Simplifying 106 = 4x + -7(-2x + 8) Reorder the terms: 106 = 4x + -7(8 + -2x) 106 = 4x + (8 * -7 + -2x * -7) 106 = 4x + (-56 + 14x) Reorder the terms: 106 = -56 + 4x + 14x Combine like terms: 4x + 14x = 18x 106 = -56 + 18x Solving 106 = -56 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 106 + -18x = -56 + 18x + -18x Combine like terms: 18x + -18x = 0 106 + -18x = -56 + 0 106 + -18x = -56 Add '-106' to each side of the equation. 106 + -106 + -18x = -56 + -106 Combine like terms: 106 + -106 = 0 0 + -18x = -56 + -106 -18x = -56 + -106 Combine like terms: -56 + -106 = -162 -18x = -162 Divide each side by '-18'. x = 9 Simplifying x = 9
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