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Simplifying 3 + 5(4 + -1x) = -3(x + 5) 3 + (4 * 5 + -1x * 5) = -3(x + 5) 3 + (20 + -5x) = -3(x + 5) Combine like terms: 3 + 20 = 23 23 + -5x = -3(x + 5) Reorder the terms: 23 + -5x = -3(5 + x) 23 + -5x = (5 * -3 + x * -3) 23 + -5x = (-15 + -3x) Solving 23 + -5x = -15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 23 + -5x + 3x = -15 + -3x + 3x Combine like terms: -5x + 3x = -2x 23 + -2x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 23 + -2x = -15 + 0 23 + -2x = -15 Add '-23' to each side of the equation. 23 + -23 + -2x = -15 + -23 Combine like terms: 23 + -23 = 0 0 + -2x = -15 + -23 -2x = -15 + -23 Combine like terms: -15 + -23 = -38 -2x = -38 Divide each side by '-2'. x = 19 Simplifying x = 19
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