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Simplifying 9 + 6(x + -4) = 11 + -2(x + -2) Reorder the terms: 9 + 6(-4 + x) = 11 + -2(x + -2) 9 + (-4 * 6 + x * 6) = 11 + -2(x + -2) 9 + (-24 + 6x) = 11 + -2(x + -2) Combine like terms: 9 + -24 = -15 -15 + 6x = 11 + -2(x + -2) Reorder the terms: -15 + 6x = 11 + -2(-2 + x) -15 + 6x = 11 + (-2 * -2 + x * -2) -15 + 6x = 11 + (4 + -2x) Combine like terms: 11 + 4 = 15 -15 + 6x = 15 + -2x Solving -15 + 6x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 6x + 2x = 15 + -2x + 2x Combine like terms: 6x + 2x = 8x -15 + 8x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 8x = 15 + 0 -15 + 8x = 15 Add '15' to each side of the equation. -15 + 15 + 8x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 15 + 15 8x = 15 + 15 Combine like terms: 15 + 15 = 30 8x = 30 Divide each side by '8'. x = 3.75 Simplifying x = 3.75
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