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Simplifying -5(x + 1) + 3 = 6 + -1(4x + -3) Reorder the terms: -5(1 + x) + 3 = 6 + -1(4x + -3) (1 * -5 + x * -5) + 3 = 6 + -1(4x + -3) (-5 + -5x) + 3 = 6 + -1(4x + -3) Reorder the terms: -5 + 3 + -5x = 6 + -1(4x + -3) Combine like terms: -5 + 3 = -2 -2 + -5x = 6 + -1(4x + -3) Reorder the terms: -2 + -5x = 6 + -1(-3 + 4x) -2 + -5x = 6 + (-3 * -1 + 4x * -1) -2 + -5x = 6 + (3 + -4x) Combine like terms: 6 + 3 = 9 -2 + -5x = 9 + -4x Solving -2 + -5x = 9 + -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. -2 + -5x + 4x = 9 + -4x + 4x Combine like terms: -5x + 4x = -1x -2 + -1x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + -1x = 9 + 0 -2 + -1x = 9 Add '2' to each side of the equation. -2 + 2 + -1x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 9 + 2 -1x = 9 + 2 Combine like terms: 9 + 2 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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