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Simplifying 4(5 + -2x) + 1 = 3(x + 3) + -5x (5 * 4 + -2x * 4) + 1 = 3(x + 3) + -5x (20 + -8x) + 1 = 3(x + 3) + -5x Reorder the terms: 20 + 1 + -8x = 3(x + 3) + -5x Combine like terms: 20 + 1 = 21 21 + -8x = 3(x + 3) + -5x Reorder the terms: 21 + -8x = 3(3 + x) + -5x 21 + -8x = (3 * 3 + x * 3) + -5x 21 + -8x = (9 + 3x) + -5x Combine like terms: 3x + -5x = -2x 21 + -8x = 9 + -2x Solving 21 + -8x = 9 + -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. 21 + -8x + 2x = 9 + -2x + 2x Combine like terms: -8x + 2x = -6x 21 + -6x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 21 + -6x = 9 + 0 21 + -6x = 9 Add '-21' to each side of the equation. 21 + -21 + -6x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -6x = 9 + -21 -6x = 9 + -21 Combine like terms: 9 + -21 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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