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Simplifying 87(29 + -3x) = 58(6x + -8) (29 * 87 + -3x * 87) = 58(6x + -8) (2523 + -261x) = 58(6x + -8) Reorder the terms: 2523 + -261x = 58(-8 + 6x) 2523 + -261x = (-8 * 58 + 6x * 58) 2523 + -261x = (-464 + 348x) Solving 2523 + -261x = -464 + 348x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-348x' to each side of the equation. 2523 + -261x + -348x = -464 + 348x + -348x Combine like terms: -261x + -348x = -609x 2523 + -609x = -464 + 348x + -348x Combine like terms: 348x + -348x = 0 2523 + -609x = -464 + 0 2523 + -609x = -464 Add '-2523' to each side of the equation. 2523 + -2523 + -609x = -464 + -2523 Combine like terms: 2523 + -2523 = 0 0 + -609x = -464 + -2523 -609x = -464 + -2523 Combine like terms: -464 + -2523 = -2987 -609x = -2987 Divide each side by '-609'. x = 4.904761905 Simplifying x = 4.904761905
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