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Simplifying 8x + 5x + -6 + -4x + 1 = x + -1(x + -4) Reorder the terms: -6 + 1 + 8x + 5x + -4x = x + -1(x + -4) Combine like terms: -6 + 1 = -5 -5 + 8x + 5x + -4x = x + -1(x + -4) Combine like terms: 8x + 5x = 13x -5 + 13x + -4x = x + -1(x + -4) Combine like terms: 13x + -4x = 9x -5 + 9x = x + -1(x + -4) Reorder the terms: -5 + 9x = x + -1(-4 + x) -5 + 9x = x + (-4 * -1 + x * -1) -5 + 9x = x + (4 + -1x) Reorder the terms: -5 + 9x = 4 + x + -1x Combine like terms: x + -1x = 0 -5 + 9x = 4 + 0 -5 + 9x = 4 Solving -5 + 9x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 9x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 4 + 5 9x = 4 + 5 Combine like terms: 4 + 5 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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