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Simplifying 6 + 9(x + -4) = 6 + -4(x + -3) Reorder the terms: 6 + 9(-4 + x) = 6 + -4(x + -3) 6 + (-4 * 9 + x * 9) = 6 + -4(x + -3) 6 + (-36 + 9x) = 6 + -4(x + -3) Combine like terms: 6 + -36 = -30 -30 + 9x = 6 + -4(x + -3) Reorder the terms: -30 + 9x = 6 + -4(-3 + x) -30 + 9x = 6 + (-3 * -4 + x * -4) -30 + 9x = 6 + (12 + -4x) Combine like terms: 6 + 12 = 18 -30 + 9x = 18 + -4x Solving -30 + 9x = 18 + -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. -30 + 9x + 4x = 18 + -4x + 4x Combine like terms: 9x + 4x = 13x -30 + 13x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 -30 + 13x = 18 + 0 -30 + 13x = 18 Add '30' to each side of the equation. -30 + 30 + 13x = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 13x = 18 + 30 13x = 18 + 30 Combine like terms: 18 + 30 = 48 13x = 48 Divide each side by '13'. x = 3.692307692 Simplifying x = 3.692307692
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