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Simplifying 4(2x + -6) + 3(x + -2) = 25 Reorder the terms: 4(-6 + 2x) + 3(x + -2) = 25 (-6 * 4 + 2x * 4) + 3(x + -2) = 25 (-24 + 8x) + 3(x + -2) = 25 Reorder the terms: -24 + 8x + 3(-2 + x) = 25 -24 + 8x + (-2 * 3 + x * 3) = 25 -24 + 8x + (-6 + 3x) = 25 Reorder the terms: -24 + -6 + 8x + 3x = 25 Combine like terms: -24 + -6 = -30 -30 + 8x + 3x = 25 Combine like terms: 8x + 3x = 11x -30 + 11x = 25 Solving -30 + 11x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 11x = 25 + 30 Combine like terms: -30 + 30 = 0 0 + 11x = 25 + 30 11x = 25 + 30 Combine like terms: 25 + 30 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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