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Simplifying 4 + -3(x + -5) + 1 = 2(x + 5) Reorder the terms: 4 + -3(-5 + x) + 1 = 2(x + 5) 4 + (-5 * -3 + x * -3) + 1 = 2(x + 5) 4 + (15 + -3x) + 1 = 2(x + 5) Reorder the terms: 4 + 15 + 1 + -3x = 2(x + 5) Combine like terms: 4 + 15 = 19 19 + 1 + -3x = 2(x + 5) Combine like terms: 19 + 1 = 20 20 + -3x = 2(x + 5) Reorder the terms: 20 + -3x = 2(5 + x) 20 + -3x = (5 * 2 + x * 2) 20 + -3x = (10 + 2x) Solving 20 + -3x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + -3x + -2x = 10 + 2x + -2x Combine like terms: -3x + -2x = -5x 20 + -5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -5x = 10 + 0 20 + -5x = 10 Add '-20' to each side of the equation. 20 + -20 + -5x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 10 + -20 -5x = 10 + -20 Combine like terms: 10 + -20 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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