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Simplifying 6x = 1 + -4(x + 1) + -9x + 2 Reorder the terms: 6x = 1 + -4(1 + x) + -9x + 2 6x = 1 + (1 * -4 + x * -4) + -9x + 2 6x = 1 + (-4 + -4x) + -9x + 2 Reorder the terms: 6x = 1 + -4 + 2 + -4x + -9x Combine like terms: 1 + -4 = -3 6x = -3 + 2 + -4x + -9x Combine like terms: -3 + 2 = -1 6x = -1 + -4x + -9x Combine like terms: -4x + -9x = -13x 6x = -1 + -13x Solving 6x = -1 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 6x + 13x = -1 + -13x + 13x Combine like terms: 6x + 13x = 19x 19x = -1 + -13x + 13x Combine like terms: -13x + 13x = 0 19x = -1 + 0 19x = -1 Divide each side by '19'. x = -0.05263157895 Simplifying x = -0.05263157895
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