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Simplifying 6(8 + -6x) + 4x = 2 + -9x (8 * 6 + -6x * 6) + 4x = 2 + -9x (48 + -36x) + 4x = 2 + -9x Combine like terms: -36x + 4x = -32x 48 + -32x = 2 + -9x Solving 48 + -32x = 2 + -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. 48 + -32x + 9x = 2 + -9x + 9x Combine like terms: -32x + 9x = -23x 48 + -23x = 2 + -9x + 9x Combine like terms: -9x + 9x = 0 48 + -23x = 2 + 0 48 + -23x = 2 Add '-48' to each side of the equation. 48 + -48 + -23x = 2 + -48 Combine like terms: 48 + -48 = 0 0 + -23x = 2 + -48 -23x = 2 + -48 Combine like terms: 2 + -48 = -46 -23x = -46 Divide each side by '-23'. x = 2 Simplifying x = 2
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