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Simplifying 2(4x + 2) + -3(2 + -6x) = 63 Reorder the terms: 2(2 + 4x) + -3(2 + -6x) = 63 (2 * 2 + 4x * 2) + -3(2 + -6x) = 63 (4 + 8x) + -3(2 + -6x) = 63 4 + 8x + (2 * -3 + -6x * -3) = 63 4 + 8x + (-6 + 18x) = 63 Reorder the terms: 4 + -6 + 8x + 18x = 63 Combine like terms: 4 + -6 = -2 -2 + 8x + 18x = 63 Combine like terms: 8x + 18x = 26x -2 + 26x = 63 Solving -2 + 26x = 63 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 26x = 63 + 2 Combine like terms: -2 + 2 = 0 0 + 26x = 63 + 2 26x = 63 + 2 Combine like terms: 63 + 2 = 65 26x = 65 Divide each side by '26'. x = 2.5 Simplifying x = 2.5
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