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Simplifying 3x + 6 = 6 + -1(4x + -3) Reorder the terms: 6 + 3x = 6 + -1(4x + -3) Reorder the terms: 6 + 3x = 6 + -1(-3 + 4x) 6 + 3x = 6 + (-3 * -1 + 4x * -1) 6 + 3x = 6 + (3 + -4x) Combine like terms: 6 + 3 = 9 6 + 3x = 9 + -4x Solving 6 + 3x = 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. 6 + 3x + 4x = 9 + -4x + 4x Combine like terms: 3x + 4x = 7x 6 + 7x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 7x = 9 + 0 6 + 7x = 9 Add '-6' to each side of the equation. 6 + -6 + 7x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 9 + -6 7x = 9 + -6 Combine like terms: 9 + -6 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286
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