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Simplifying 2(13x + -45) = 3 + -3(x + 4) Reorder the terms: 2(-45 + 13x) = 3 + -3(x + 4) (-45 * 2 + 13x * 2) = 3 + -3(x + 4) (-90 + 26x) = 3 + -3(x + 4) Reorder the terms: -90 + 26x = 3 + -3(4 + x) -90 + 26x = 3 + (4 * -3 + x * -3) -90 + 26x = 3 + (-12 + -3x) Combine like terms: 3 + -12 = -9 -90 + 26x = -9 + -3x Solving -90 + 26x = -9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -90 + 26x + 3x = -9 + -3x + 3x Combine like terms: 26x + 3x = 29x -90 + 29x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 -90 + 29x = -9 + 0 -90 + 29x = -9 Add '90' to each side of the equation. -90 + 90 + 29x = -9 + 90 Combine like terms: -90 + 90 = 0 0 + 29x = -9 + 90 29x = -9 + 90 Combine like terms: -9 + 90 = 81 29x = 81 Divide each side by '29'. x = 2.793103448 Simplifying x = 2.793103448
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