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Simplifying 54 + 2x = 6 + 5(x + -3) Reorder the terms: 54 + 2x = 6 + 5(-3 + x) 54 + 2x = 6 + (-3 * 5 + x * 5) 54 + 2x = 6 + (-15 + 5x) Combine like terms: 6 + -15 = -9 54 + 2x = -9 + 5x Solving 54 + 2x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 54 + 2x + -5x = -9 + 5x + -5x Combine like terms: 2x + -5x = -3x 54 + -3x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 54 + -3x = -9 + 0 54 + -3x = -9 Add '-54' to each side of the equation. 54 + -54 + -3x = -9 + -54 Combine like terms: 54 + -54 = 0 0 + -3x = -9 + -54 -3x = -9 + -54 Combine like terms: -9 + -54 = -63 -3x = -63 Divide each side by '-3'. x = 21 Simplifying x = 21
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