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Simplifying 1 + -1(x + 5) = 3(x + -2) + 4x Reorder the terms: 1 + -1(5 + x) = 3(x + -2) + 4x 1 + (5 * -1 + x * -1) = 3(x + -2) + 4x 1 + (-5 + -1x) = 3(x + -2) + 4x Combine like terms: 1 + -5 = -4 -4 + -1x = 3(x + -2) + 4x Reorder the terms: -4 + -1x = 3(-2 + x) + 4x -4 + -1x = (-2 * 3 + x * 3) + 4x -4 + -1x = (-6 + 3x) + 4x Combine like terms: 3x + 4x = 7x -4 + -1x = -6 + 7x Solving -4 + -1x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + -1x + -7x = -6 + 7x + -7x Combine like terms: -1x + -7x = -8x -4 + -8x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -8x = -6 + 0 -4 + -8x = -6 Add '4' to each side of the equation. -4 + 4 + -8x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -6 + 4 -8x = -6 + 4 Combine like terms: -6 + 4 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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