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Simplifying 2(x + -3) + -4(5 + -1x) = 4(x + -7) + 1 Reorder the terms: 2(-3 + x) + -4(5 + -1x) = 4(x + -7) + 1 (-3 * 2 + x * 2) + -4(5 + -1x) = 4(x + -7) + 1 (-6 + 2x) + -4(5 + -1x) = 4(x + -7) + 1 -6 + 2x + (5 * -4 + -1x * -4) = 4(x + -7) + 1 -6 + 2x + (-20 + 4x) = 4(x + -7) + 1 Reorder the terms: -6 + -20 + 2x + 4x = 4(x + -7) + 1 Combine like terms: -6 + -20 = -26 -26 + 2x + 4x = 4(x + -7) + 1 Combine like terms: 2x + 4x = 6x -26 + 6x = 4(x + -7) + 1 Reorder the terms: -26 + 6x = 4(-7 + x) + 1 -26 + 6x = (-7 * 4 + x * 4) + 1 -26 + 6x = (-28 + 4x) + 1 Reorder the terms: -26 + 6x = -28 + 1 + 4x Combine like terms: -28 + 1 = -27 -26 + 6x = -27 + 4x Solving -26 + 6x = -27 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -26 + 6x + -4x = -27 + 4x + -4x Combine like terms: 6x + -4x = 2x -26 + 2x = -27 + 4x + -4x Combine like terms: 4x + -4x = 0 -26 + 2x = -27 + 0 -26 + 2x = -27 Add '26' to each side of the equation. -26 + 26 + 2x = -27 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = -27 + 26 2x = -27 + 26 Combine like terms: -27 + 26 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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