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Simplifying 6x + 54 = 2 + -1(x + -3) Reorder the terms: 54 + 6x = 2 + -1(x + -3) Reorder the terms: 54 + 6x = 2 + -1(-3 + x) 54 + 6x = 2 + (-3 * -1 + x * -1) 54 + 6x = 2 + (3 + -1x) Combine like terms: 2 + 3 = 5 54 + 6x = 5 + -1x Solving 54 + 6x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 54 + 6x + x = 5 + -1x + x Combine like terms: 6x + x = 7x 54 + 7x = 5 + -1x + x Combine like terms: -1x + x = 0 54 + 7x = 5 + 0 54 + 7x = 5 Add '-54' to each side of the equation. 54 + -54 + 7x = 5 + -54 Combine like terms: 54 + -54 = 0 0 + 7x = 5 + -54 7x = 5 + -54 Combine like terms: 5 + -54 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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