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Simplifying 2(3x + 1) = 8(5x + -2) Reorder the terms: 2(1 + 3x) = 8(5x + -2) (1 * 2 + 3x * 2) = 8(5x + -2) (2 + 6x) = 8(5x + -2) Reorder the terms: 2 + 6x = 8(-2 + 5x) 2 + 6x = (-2 * 8 + 5x * 8) 2 + 6x = (-16 + 40x) Solving 2 + 6x = -16 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 2 + 6x + -40x = -16 + 40x + -40x Combine like terms: 6x + -40x = -34x 2 + -34x = -16 + 40x + -40x Combine like terms: 40x + -40x = 0 2 + -34x = -16 + 0 2 + -34x = -16 Add '-2' to each side of the equation. 2 + -2 + -34x = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -34x = -16 + -2 -34x = -16 + -2 Combine like terms: -16 + -2 = -18 -34x = -18 Divide each side by '-34'. x = 0.5294117647 Simplifying x = 0.5294117647
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