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Simplifying 258 = 3x + 8(4x + 6) Reorder the terms: 258 = 3x + 8(6 + 4x) 258 = 3x + (6 * 8 + 4x * 8) 258 = 3x + (48 + 32x) Reorder the terms: 258 = 48 + 3x + 32x Combine like terms: 3x + 32x = 35x 258 = 48 + 35x Solving 258 = 48 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 258 + -35x = 48 + 35x + -35x Combine like terms: 35x + -35x = 0 258 + -35x = 48 + 0 258 + -35x = 48 Add '-258' to each side of the equation. 258 + -258 + -35x = 48 + -258 Combine like terms: 258 + -258 = 0 0 + -35x = 48 + -258 -35x = 48 + -258 Combine like terms: 48 + -258 = -210 -35x = -210 Divide each side by '-35'. x = 6 Simplifying x = 6
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