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Simplifying 106 = 3x + 2(5x + -12) Reorder the terms: 106 = 3x + 2(-12 + 5x) 106 = 3x + (-12 * 2 + 5x * 2) 106 = 3x + (-24 + 10x) Reorder the terms: 106 = -24 + 3x + 10x Combine like terms: 3x + 10x = 13x 106 = -24 + 13x Solving 106 = -24 + 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 = -24 + 13x + -13x Combine like terms: 13x + -13x = 0 106 + -13x = -24 + 0 106 + -13x = -24 Add '-106' to each side of the equation. 106 + -106 + -13x = -24 + -106 Combine like terms: 106 + -106 = 0 0 + -13x = -24 + -106 -13x = -24 + -106 Combine like terms: -24 + -106 = -130 -13x = -130 Divide each side by '-13'. x = 10 Simplifying x = 10
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