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Simplifying 8(4x + -2) = 5(2x + -3) + -6x Reorder the terms: 8(-2 + 4x) = 5(2x + -3) + -6x (-2 * 8 + 4x * 8) = 5(2x + -3) + -6x (-16 + 32x) = 5(2x + -3) + -6x Reorder the terms: -16 + 32x = 5(-3 + 2x) + -6x -16 + 32x = (-3 * 5 + 2x * 5) + -6x -16 + 32x = (-15 + 10x) + -6x Combine like terms: 10x + -6x = 4x -16 + 32x = -15 + 4x Solving -16 + 32x = -15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -16 + 32x + -4x = -15 + 4x + -4x Combine like terms: 32x + -4x = 28x -16 + 28x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 28x = -15 + 0 -16 + 28x = -15 Add '16' to each side of the equation. -16 + 16 + 28x = -15 + 16 Combine like terms: -16 + 16 = 0 0 + 28x = -15 + 16 28x = -15 + 16 Combine like terms: -15 + 16 = 1 28x = 1 Divide each side by '28'. x = 0.03571428571 Simplifying x = 0.03571428571
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