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Simplifying 16x + 8 + -2x + 46 = 7x + 4 + -2x + 59 Reorder the terms: 8 + 46 + 16x + -2x = 7x + 4 + -2x + 59 Combine like terms: 8 + 46 = 54 54 + 16x + -2x = 7x + 4 + -2x + 59 Combine like terms: 16x + -2x = 14x 54 + 14x = 7x + 4 + -2x + 59 Reorder the terms: 54 + 14x = 4 + 59 + 7x + -2x Combine like terms: 4 + 59 = 63 54 + 14x = 63 + 7x + -2x Combine like terms: 7x + -2x = 5x 54 + 14x = 63 + 5x Solving 54 + 14x = 63 + 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 + 14x + -5x = 63 + 5x + -5x Combine like terms: 14x + -5x = 9x 54 + 9x = 63 + 5x + -5x Combine like terms: 5x + -5x = 0 54 + 9x = 63 + 0 54 + 9x = 63 Add '-54' to each side of the equation. 54 + -54 + 9x = 63 + -54 Combine like terms: 54 + -54 = 0 0 + 9x = 63 + -54 9x = 63 + -54 Combine like terms: 63 + -54 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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