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Simplifying -4(4 + -7x) + -1(1 + -1x) = 2(x + -5) (4 * -4 + -7x * -4) + -1(1 + -1x) = 2(x + -5) (-16 + 28x) + -1(1 + -1x) = 2(x + -5) -16 + 28x + (1 * -1 + -1x * -1) = 2(x + -5) -16 + 28x + (-1 + 1x) = 2(x + -5) Reorder the terms: -16 + -1 + 28x + 1x = 2(x + -5) Combine like terms: -16 + -1 = -17 -17 + 28x + 1x = 2(x + -5) Combine like terms: 28x + 1x = 29x -17 + 29x = 2(x + -5) Reorder the terms: -17 + 29x = 2(-5 + x) -17 + 29x = (-5 * 2 + x * 2) -17 + 29x = (-10 + 2x) Solving -17 + 29x = -10 + 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. -17 + 29x + -2x = -10 + 2x + -2x Combine like terms: 29x + -2x = 27x -17 + 27x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 27x = -10 + 0 -17 + 27x = -10 Add '17' to each side of the equation. -17 + 17 + 27x = -10 + 17 Combine like terms: -17 + 17 = 0 0 + 27x = -10 + 17 27x = -10 + 17 Combine like terms: -10 + 17 = 7 27x = 7 Divide each side by '27'. x = 0.2592592593 Simplifying x = 0.2592592593
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