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Simplifying 4x + 6 = 8 + -1(9x + -3) Reorder the terms: 6 + 4x = 8 + -1(9x + -3) Reorder the terms: 6 + 4x = 8 + -1(-3 + 9x) 6 + 4x = 8 + (-3 * -1 + 9x * -1) 6 + 4x = 8 + (3 + -9x) Combine like terms: 8 + 3 = 11 6 + 4x = 11 + -9x Solving 6 + 4x = 11 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 6 + 4x + 9x = 11 + -9x + 9x Combine like terms: 4x + 9x = 13x 6 + 13x = 11 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 13x = 11 + 0 6 + 13x = 11 Add '-6' to each side of the equation. 6 + -6 + 13x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 13x = 11 + -6 13x = 11 + -6 Combine like terms: 11 + -6 = 5 13x = 5 Divide each side by '13'. x = 0.3846153846 Simplifying x = 0.3846153846
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