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Simplifying 8(3x + -2) = 13 + 2(4 + -1x) Reorder the terms: 8(-2 + 3x) = 13 + 2(4 + -1x) (-2 * 8 + 3x * 8) = 13 + 2(4 + -1x) (-16 + 24x) = 13 + 2(4 + -1x) -16 + 24x = 13 + (4 * 2 + -1x * 2) -16 + 24x = 13 + (8 + -2x) Combine like terms: 13 + 8 = 21 -16 + 24x = 21 + -2x Solving -16 + 24x = 21 + -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. -16 + 24x + 2x = 21 + -2x + 2x Combine like terms: 24x + 2x = 26x -16 + 26x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 26x = 21 + 0 -16 + 26x = 21 Add '16' to each side of the equation. -16 + 16 + 26x = 21 + 16 Combine like terms: -16 + 16 = 0 0 + 26x = 21 + 16 26x = 21 + 16 Combine like terms: 21 + 16 = 37 26x = 37 Divide each side by '26'. x = 1.423076923 Simplifying x = 1.423076923
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