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Simplifying x + 54 = 7(x + -54) Reorder the terms: 54 + x = 7(x + -54) Reorder the terms: 54 + x = 7(-54 + x) 54 + x = (-54 * 7 + x * 7) 54 + x = (-378 + 7x) Solving 54 + x = -378 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 54 + x + -7x = -378 + 7x + -7x Combine like terms: x + -7x = -6x 54 + -6x = -378 + 7x + -7x Combine like terms: 7x + -7x = 0 54 + -6x = -378 + 0 54 + -6x = -378 Add '-54' to each side of the equation. 54 + -54 + -6x = -378 + -54 Combine like terms: 54 + -54 = 0 0 + -6x = -378 + -54 -6x = -378 + -54 Combine like terms: -378 + -54 = -432 -6x = -432 Divide each side by '-6'. x = 72 Simplifying x = 72
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