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Simplifying 6 + -4(x + 2) + 8 = 9x + 4(x + 2) Reorder the terms: 6 + -4(2 + x) + 8 = 9x + 4(x + 2) 6 + (2 * -4 + x * -4) + 8 = 9x + 4(x + 2) 6 + (-8 + -4x) + 8 = 9x + 4(x + 2) Reorder the terms: 6 + -8 + 8 + -4x = 9x + 4(x + 2) Combine like terms: 6 + -8 = -2 -2 + 8 + -4x = 9x + 4(x + 2) Combine like terms: -2 + 8 = 6 6 + -4x = 9x + 4(x + 2) Reorder the terms: 6 + -4x = 9x + 4(2 + x) 6 + -4x = 9x + (2 * 4 + x * 4) 6 + -4x = 9x + (8 + 4x) Reorder the terms: 6 + -4x = 8 + 9x + 4x Combine like terms: 9x + 4x = 13x 6 + -4x = 8 + 13x Solving 6 + -4x = 8 + 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. 6 + -4x + -13x = 8 + 13x + -13x Combine like terms: -4x + -13x = -17x 6 + -17x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 6 + -17x = 8 + 0 6 + -17x = 8 Add '-6' to each side of the equation. 6 + -6 + -17x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -17x = 8 + -6 -17x = 8 + -6 Combine like terms: 8 + -6 = 2 -17x = 2 Divide each side by '-17'. x = -0.1176470588 Simplifying x = -0.1176470588
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