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Simplifying 106 = 6x + 4(-3x + 34) Reorder the terms: 106 = 6x + 4(34 + -3x) 106 = 6x + (34 * 4 + -3x * 4) 106 = 6x + (136 + -12x) Reorder the terms: 106 = 136 + 6x + -12x Combine like terms: 6x + -12x = -6x 106 = 136 + -6x Solving 106 = 136 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 106 + 6x = 136 + -6x + 6x Combine like terms: -6x + 6x = 0 106 + 6x = 136 + 0 106 + 6x = 136 Add '-106' to each side of the equation. 106 + -106 + 6x = 136 + -106 Combine like terms: 106 + -106 = 0 0 + 6x = 136 + -106 6x = 136 + -106 Combine like terms: 136 + -106 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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