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Simplifying 5(x + 1) + 7(x + -3) = 146 Reorder the terms: 5(1 + x) + 7(x + -3) = 146 (1 * 5 + x * 5) + 7(x + -3) = 146 (5 + 5x) + 7(x + -3) = 146 Reorder the terms: 5 + 5x + 7(-3 + x) = 146 5 + 5x + (-3 * 7 + x * 7) = 146 5 + 5x + (-21 + 7x) = 146 Reorder the terms: 5 + -21 + 5x + 7x = 146 Combine like terms: 5 + -21 = -16 -16 + 5x + 7x = 146 Combine like terms: 5x + 7x = 12x -16 + 12x = 146 Solving -16 + 12x = 146 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 12x = 146 + 16 Combine like terms: -16 + 16 = 0 0 + 12x = 146 + 16 12x = 146 + 16 Combine like terms: 146 + 16 = 162 12x = 162 Divide each side by '12'. x = 13.5 Simplifying x = 13.5
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