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Simplifying 2x + -54 = 7(x + 5) + -9 Reorder the terms: -54 + 2x = 7(x + 5) + -9 Reorder the terms: -54 + 2x = 7(5 + x) + -9 -54 + 2x = (5 * 7 + x * 7) + -9 -54 + 2x = (35 + 7x) + -9 Reorder the terms: -54 + 2x = 35 + -9 + 7x Combine like terms: 35 + -9 = 26 -54 + 2x = 26 + 7x Solving -54 + 2x = 26 + 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 + 2x + -7x = 26 + 7x + -7x Combine like terms: 2x + -7x = -5x -54 + -5x = 26 + 7x + -7x Combine like terms: 7x + -7x = 0 -54 + -5x = 26 + 0 -54 + -5x = 26 Add '54' to each side of the equation. -54 + 54 + -5x = 26 + 54 Combine like terms: -54 + 54 = 0 0 + -5x = 26 + 54 -5x = 26 + 54 Combine like terms: 26 + 54 = 80 -5x = 80 Divide each side by '-5'. x = -16 Simplifying x = -16
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