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Simplifying 15 + -3(x + -2) = 5(x + 1) Reorder the terms: 15 + -3(-2 + x) = 5(x + 1) 15 + (-2 * -3 + x * -3) = 5(x + 1) 15 + (6 + -3x) = 5(x + 1) Combine like terms: 15 + 6 = 21 21 + -3x = 5(x + 1) Reorder the terms: 21 + -3x = 5(1 + x) 21 + -3x = (1 * 5 + x * 5) 21 + -3x = (5 + 5x) Solving 21 + -3x = 5 + 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. 21 + -3x + -5x = 5 + 5x + -5x Combine like terms: -3x + -5x = -8x 21 + -8x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -8x = 5 + 0 21 + -8x = 5 Add '-21' to each side of the equation. 21 + -21 + -8x = 5 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = 5 + -21 -8x = 5 + -21 Combine like terms: 5 + -21 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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