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Simplifying 2(1 + -5x) + 3(-1 + -1x) + -4(-7 + 2x) = -1x (1 * 2 + -5x * 2) + 3(-1 + -1x) + -4(-7 + 2x) = -1x (2 + -10x) + 3(-1 + -1x) + -4(-7 + 2x) = -1x 2 + -10x + (-1 * 3 + -1x * 3) + -4(-7 + 2x) = -1x 2 + -10x + (-3 + -3x) + -4(-7 + 2x) = -1x 2 + -10x + -3 + -3x + (-7 * -4 + 2x * -4) = -1x 2 + -10x + -3 + -3x + (28 + -8x) = -1x Reorder the terms: 2 + -3 + 28 + -10x + -3x + -8x = -1x Combine like terms: 2 + -3 = -1 -1 + 28 + -10x + -3x + -8x = -1x Combine like terms: -1 + 28 = 27 27 + -10x + -3x + -8x = -1x Combine like terms: -10x + -3x = -13x 27 + -13x + -8x = -1x Combine like terms: -13x + -8x = -21x 27 + -21x = -1x Solving 27 + -21x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 27 + -21x + x = -1x + x Combine like terms: -21x + x = -20x 27 + -20x = -1x + x Combine like terms: -1x + x = 0 27 + -20x = 0 Add '-27' to each side of the equation. 27 + -27 + -20x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -20x = 0 + -27 -20x = 0 + -27 Combine like terms: 0 + -27 = -27 -20x = -27 Divide each side by '-20'. x = 1.35 Simplifying x = 1.35
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