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Simplifying 4 + 9(x + -6) = 2 + -4(x + -2) Reorder the terms: 4 + 9(-6 + x) = 2 + -4(x + -2) 4 + (-6 * 9 + x * 9) = 2 + -4(x + -2) 4 + (-54 + 9x) = 2 + -4(x + -2) Combine like terms: 4 + -54 = -50 -50 + 9x = 2 + -4(x + -2) Reorder the terms: -50 + 9x = 2 + -4(-2 + x) -50 + 9x = 2 + (-2 * -4 + x * -4) -50 + 9x = 2 + (8 + -4x) Combine like terms: 2 + 8 = 10 -50 + 9x = 10 + -4x Solving -50 + 9x = 10 + -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. -50 + 9x + 4x = 10 + -4x + 4x Combine like terms: 9x + 4x = 13x -50 + 13x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 -50 + 13x = 10 + 0 -50 + 13x = 10 Add '50' to each side of the equation. -50 + 50 + 13x = 10 + 50 Combine like terms: -50 + 50 = 0 0 + 13x = 10 + 50 13x = 10 + 50 Combine like terms: 10 + 50 = 60 13x = 60 Divide each side by '13'. x = 4.615384615 Simplifying x = 4.615384615
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