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Simplifying 1 + 5(x + -1) = 4(x + -3) + 6 Reorder the terms: 1 + 5(-1 + x) = 4(x + -3) + 6 1 + (-1 * 5 + x * 5) = 4(x + -3) + 6 1 + (-5 + 5x) = 4(x + -3) + 6 Combine like terms: 1 + -5 = -4 -4 + 5x = 4(x + -3) + 6 Reorder the terms: -4 + 5x = 4(-3 + x) + 6 -4 + 5x = (-3 * 4 + x * 4) + 6 -4 + 5x = (-12 + 4x) + 6 Reorder the terms: -4 + 5x = -12 + 6 + 4x Combine like terms: -12 + 6 = -6 -4 + 5x = -6 + 4x Solving -4 + 5x = -6 + 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. -4 + 5x + -4x = -6 + 4x + -4x Combine like terms: 5x + -4x = 1x -4 + 1x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 1x = -6 + 0 -4 + 1x = -6 Add '4' to each side of the equation. -4 + 4 + 1x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -6 + 4 1x = -6 + 4 Combine like terms: -6 + 4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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