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Simplifying 4(5 + -2x) + 1 = 2(x + 3) + -5x (5 * 4 + -2x * 4) + 1 = 2(x + 3) + -5x (20 + -8x) + 1 = 2(x + 3) + -5x Reorder the terms: 20 + 1 + -8x = 2(x + 3) + -5x Combine like terms: 20 + 1 = 21 21 + -8x = 2(x + 3) + -5x Reorder the terms: 21 + -8x = 2(3 + x) + -5x 21 + -8x = (3 * 2 + x * 2) + -5x 21 + -8x = (6 + 2x) + -5x Combine like terms: 2x + -5x = -3x 21 + -8x = 6 + -3x Solving 21 + -8x = 6 + -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. 21 + -8x + 3x = 6 + -3x + 3x Combine like terms: -8x + 3x = -5x 21 + -5x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 21 + -5x = 6 + 0 21 + -5x = 6 Add '-21' to each side of the equation. 21 + -21 + -5x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = 6 + -21 -5x = 6 + -21 Combine like terms: 6 + -21 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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