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Simplifying 4(3 + -2x) + -7(x + -5) + (7 + -4x) + -1(x + 5) = 20 (3 * 4 + -2x * 4) + -7(x + -5) + (7 + -4x) + -1(x + 5) = 20 (12 + -8x) + -7(x + -5) + (7 + -4x) + -1(x + 5) = 20 Reorder the terms: 12 + -8x + -7(-5 + x) + (7 + -4x) + -1(x + 5) = 20 12 + -8x + (-5 * -7 + x * -7) + (7 + -4x) + -1(x + 5) = 20 12 + -8x + (35 + -7x) + (7 + -4x) + -1(x + 5) = 20 Remove parenthesis around (7 + -4x) 12 + -8x + 35 + -7x + 7 + -4x + -1(x + 5) = 20 Reorder the terms: 12 + -8x + 35 + -7x + 7 + -4x + -1(5 + x) = 20 12 + -8x + 35 + -7x + 7 + -4x + (5 * -1 + x * -1) = 20 12 + -8x + 35 + -7x + 7 + -4x + (-5 + -1x) = 20 Reorder the terms: 12 + 35 + 7 + -5 + -8x + -7x + -4x + -1x = 20 Combine like terms: 12 + 35 = 47 47 + 7 + -5 + -8x + -7x + -4x + -1x = 20 Combine like terms: 47 + 7 = 54 54 + -5 + -8x + -7x + -4x + -1x = 20 Combine like terms: 54 + -5 = 49 49 + -8x + -7x + -4x + -1x = 20 Combine like terms: -8x + -7x = -15x 49 + -15x + -4x + -1x = 20 Combine like terms: -15x + -4x = -19x 49 + -19x + -1x = 20 Combine like terms: -19x + -1x = -20x 49 + -20x = 20 Solving 49 + -20x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -20x = 20 + -49 Combine like terms: 49 + -49 = 0 0 + -20x = 20 + -49 -20x = 20 + -49 Combine like terms: 20 + -49 = -29 -20x = -29 Divide each side by '-20'. x = 1.45 Simplifying x = 1.45
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